Quiz 3 Basic Probability

Quiz 3 Basic probability 1. If the event of interest is A, then which of the following statements is correct? a. the probability that A will not occur is 1  !"A#  b. the probability that that A will not occur is the probability probability of the complement complement of A c. the probability that A will occur is zero if event A is impossible $. the probability A will occur is one if event A is certain %e. all of the above statements are correct &. 'hich of the following $efinitions is correct? a. an activity, which results in an outcome, is calle$ an event  b. the probability of an event is e(presse$ e(presse$ in $ecimal $ecimal form ranging from )1 to *1 %c. the sample space refers to all possible outcomes of an e(periment $. the probability that an event will occur is calle$ the e(periment e. an event is the combination of all possible outcomes 3. 'hich of the following statements is not correct? a. if only one of the two events A an$ B can occur, in other wor$s, the occurrence of one e(clu$es the occurrence of the other event, then events A an$ B are mutually e(clusive  b. if events A an$ B can occur at the the same time, then A an$ B intersect intersect %c. if event A $oes not occur, then its complement, +, will also not occur  $. a union of two events "eg A or B# occurs when at least one of the two events occurs e. If all possible outcomes of an e(periment are represente$ in a set, the set is consi$ere$ to be e(haustive -. If a contingency table shows the gen$er an$ year of stu$y of BBusci stu$ents "ie first year, secon$ year, thir$ year or fourth year# in your statistics class, which of the following statements is/are true? a. the events 0male stu$ent an$ 0female stu$ent are mutually e(clusive events  b. because of the the fact that your stats stats class is a BBusci BBusci course only, only, all the events are e(haustive, in other wor$s, each stu$ent must fall into one of the classifications c. an e(ample for the intersection of events "eg A an$ B# woul$ be of male stu$ents who are in first year  $. an e(ample for the union of events "eg A or B# woul$ be stu$ents who are female or in secon$ year  %e. all of the above statements are correct 2. wo events, A an$ B, are sai$ to be mutually e(clusive if a. !"A 4 B# 5 1  b. !"B 4 A# 5 1 c. !"A an$ B# 5 1 %$. !"A an$ B# 5 6 e. none of the above 7. wo events, A an$ B, are sai$ to be in$epen$ent if %a. !"A an$ B# 5 !"A#.!"B#  b. !"A an$ B# 5 !"A# * !"B# c. !"A 4 B# 5 !"B#

$. !"B 4 A# 5 !"A# e. none of the above 8. 9ill in the missing wor$ in the following statement with one of the options liste$  below :vents are ;;;;;;;;;;; ;;;;;;;;;;; when when the occurrence occurrence of one event event has no effect on the probability that another event will occur. a. mutually e(clusive %b. in$epen$ent c. e(haustive $. $epen$ent e. simultaneous <. 9ill in the missing wor$ in the following statement with one of the options liste$  below :vents are ;;;;;;;;;;; ;;;;;;;;;;; when when the occurrence occurrence of one event event changes the  probability that another another event will occur. a. mutually e(clusive  b. in$epen$ent in$epen$ent c. e(haustive %$. $epen$ent e. simultaneous =. In the notation below, > is the ran$om variable, c is a constant, an$  refers to the variance. 'hich of the following laws laws of variance is not not correct? a. "c# 5 6  b. "> * c# 5 "># %c. "> * c# 5 "># * c $. "c ># 5 c& "># e. all of the above are correct 16. @ou are given the following !"A an$ :# 5 6.18, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.18 an$ !"+ an$ # 5 6.3-. 'hich of the following statements statements about A an$ : is correct? a. A an$ : are mutually e(clusive an$ in$epen$ent  b. A an$ : are mutually mutually e(clusive an$ an$ $epen$ent $epen$ent c. A an$ : are not mutually e(clusive but are in$epen$ent in$epen$ent %$. A an$ : are not mutually e(clusive an$ are $epen$ent e. one of the above statements is correct 11. @ou are given the following !"A an$ :# 5 6.&6, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.12 an$ !"+ an$ # 5 6.33. 'hich of the following statements statements about A an$ : is correct? a. A an$ : are mutually e(clusive an$ in$epen$ent  b. A an$ : are mutually mutually e(clusive an$ an$ $epen$ent $epen$ent c. A an$ : are not mutually e(clusive but are in$epen$ent in$epen$ent %$. A an$ : are not mutually e(clusive an$ are $epen$ent e. one of the above statements is correct 1&. @ou are given the following !"A an$ :# 5 6.1=, !"+ an$ :# 5 6.3<, !"A an$ # 5 6.13 an$ !"+ an$ # 5 6.3. 'hich of the following statements about about A an$ : is correct?

a. A an$ : are mutually e(clusive an$ in$epen$ent  b. A an$ : are mutually mutually e(clusive an$ an$ $epen$ent $epen$ent c. A an$ : are not mutually e(clusive but are in$epen$ent in$epen$ent %$. A an$ : are not mutually e(clusive an$ are $epen$ent e. one of the above statements is correct 13. @ou are given the following !"A an$ :# 5 6.18, !"+ an$ :# 5 6.33, !"A an$ # 5 6.&6 an$ !"+ an$ # 5 6.3. 'hich of the following statements about about A an$ : is correct? a. A an$ : are mutually e(clusive an$ in$epen$ent  b. A an$ : are mutually mutually e(clusive an$ an$ $epen$ent $epen$ent c. A an$ : are not mutually e(clusive but are in$epen$ent in$epen$ent %$. A an$ : are not mutually e(clusive an$ are $epen$ent e. one of the above statements is correct 1-. @ou are given the following !"A an$ :# 5 6.17, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.1& an$ !"+ an$ # 5 6.-6. 'hich of the following statements statements about A an$ : is correct? a. A an$ : are mutually e(clusive an$ in$epen$ent  b. A an$ : are mutually mutually e(clusive an$ an$ $epen$ent $epen$ent c. A an$ : are not mutually e(clusive but are in$epen$ent in$epen$ent %$. A an$ : are not mutually e(clusive an$ are $epen$ent e. one of the above statements is correct 12. If !"A# 5 6.<, !"B# 5 6.3 an$ !"A4B# 5 6.7, what is !"A an$ B#? %a. 6.1<  b. 6.&c. 6.63 $. 6.36 e. 6.12 17. If !"A# 5 6.8, !"B# 5 6.- an$ !"A4B# 5 6.7, what is !"A an$ B#? a. 6.1< %b. 6.&c. 6.63 $. 6.36 e. 6.12 18. If !"A# 5 6.<, !"B# 5 6.3 an$ !"A4B# 5 6.1, what is !"A an$ B#? a. 6.1<  b. 6.&%c. 6.63 $. 6.36 e. 6.12 1<. If !"A# 5 6.1, !"B# 5 6.2 an$ !"A4B# 5 6.7, what is !"A an$ B#? a. 6.1<  b. 6.&c. 6.63 %$. 6.36

e. 6.12 1=. If !"A# 5 6.7, !"B# 5 6.3 an$ !"A4B# 5 6.2, what is !"A an$ B#? %a. 6.12  b. 6.-& c. 6.&8 $. 6.-< e. 6.12 &6. If !"A# 5 6.<, !"B# 5 6.8 an$ !"A4B# 5 6.7, what is !"A an$ B#? a. 6.12 %b. 6.-& c. 6.&8 $. 6.-< e. 6.12 &1. If !"A# 5 6.&, !"B# 5 6.3 an$ !"A4B# 5 6.=, what is !"A an$ B#? a. 6.12  b. 6.-& %c. 6.&8 $. 6.-< e. 6.12 &&. If !"A# 5 6.<, !"B# 5 6.< an$ !"A4B# 5 6.7, what is !"A an$ B#? a. 6.12  b. 6.-& c. 6.&8 %$. 6.-< e. 6.12 &3. @ou are given the following !"A an$ B# 5 6.18, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.18 an$ !"+ an$ # 5 6.3-. 'hat is !"A#? %a. 6.3 b. 6.32 c. 6.3& $. 6.38 e. 6.&< &-. @ou are given the following !"A an$ :# 5 6.&6, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.12 an$ !"+ an$ # 5 6.33. 'hat is !"A#? a. 6.3%b. 6.32 c. 6.3& $. 6.38 e. 6.&< &2. @ou are given the following !"A an$ :# 5 6.1=, !"+ an$ :# 5 6.3<, !"A an$ # 5 6.13 an$ !"+ an$ # 5 6.36. 'hat is !"A#? a. 6.3 b. 6.32

%c. 6.3& $. 6.38 e. 6.&< &7. @ou are given the following !"A an$ :# 5 6.18, !"+ an$ :# 5 6.33, !"A an$ # 5 6.&6 an$ !"+ an$ # 5 6.3. 'hat is !"A#? a. 6.3 b. 6.32 c. 6.3& %$. 6.38 e. 6.&< &8. @ou are given the following !"A an$ :# 5 6.17, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.1& an$ !"+ an$ # 5 6.-6. 'hat is !"A#? a. 6.3 b. 6.32 c. 6.3& $. 6.38 %e. 6.&< &<. @ou are given the following !"A an$ :# 5 6.12, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.16 an$ !"+ an$ # 5 6.-3. 'hat is !"A#? %a. 6.&2  b. 6.&8 c. 6.&= $. 6.3e. 6.33 &=. @ou are given the following !"A an$ :# 5 6.17, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.11 an$ !"+ an$ # 5 6.-1. 'hat is !"A#? a. 6.&2 %b. 6.&8 c. 6.&= $. 6.3e. 6.33 36. @ou are given the following !"A an$ :# 5 6.18, !"+ an$ :# 5 6.37, !"A an$ # 5 6.16 an$ !"+ an$ # 5 6.38. 'hat is !"A#? a. 6.&2 %b. 6.&8 c. 6.&= $. 6.3e. 6.33 31. @ou are given the following !"A an$ :# 5 6.&-, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.16 an$ !"+ an$ # 5 6.3-. 'hat is !"A#? a. 6.&2  b. 6.&8 c. 6.&= %$. 6.3-

e. 6.33 3&. @ou are given the following !"A an$ :# 5 6.1=, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.1- an$ !"+ an$ # 5 6.32. 'hat is !"A#? a. 6.&2  b. 6.&8 c. 6.&= $. 6.3%e. 6.33 33. @ou are given the following !"A an$ B# 5 6.18, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.18 an$ !"+ an$ # 5 6.3-. 'hat is !":#? %a. 6.-=  b. 6.2& c. 6.28 $. 6.26 e. 6.-< 3-. @ou are given the following !"A an$ :# 5 6.&6, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.12 an$ !"+ an$ # 5 6.33. 'hat is !":#? a. 6.-= %b. 6.2& c. 6.28 $. 6.26 e. 6.-< 32. @ou are given the following !"A an$ :# 5 6.1=, !"+ an$ :# 5 6.3<, !"A an$ # 5 6.13 an$ !"+ an$ # 5 6.36. 'hat is !":#? a. 6.-=  b. 6.2& %c. 6.28 $. 6.26 e. 6.-< 37. @ou are given the following !"A an$ :# 5 6.18, !"+ an$ :# 5 6.33, !"A an$ # 5 6.&6 an$ !"+ an$ # 5 6.3. 'hat is !":#? a. 6.-=  b. 6.2& c. 6.28 %$. 6.26 e. 6.-< 38. @ou are given the following !"A an$ :# 5 6.17, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.1& an$ !"+ an$ # 5 6.-6. 'hat is !":#? a. 6.-=  b. 6.2& c. 6.28 $. 6.26 %e. 6.-<

3<. @ou are given the following !"A an$ :# 5 6.12, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.16 an$ !"+ an$ # 5 6.-3. 'hat is !":#? %a. 6.-8  b. 6.-< c. 6.23 $. 6.27 e. 6.21 3=. @ou are given the following !"A an$ :# 5 6.17, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.11 an$ !"+ an$ # 5 6.-1. 'hat is !":#? a. 6.-8 %b. 6.-< c. 6.23 $. 6.27 e. 6.21 -6. @ou are given the following !"A an$ :# 5 6.18, !"+ an$ :# 5 6.37, !"A an$ # 5 6.16 an$ !"+ an$ # 5 6.38. 'hat is !":#? a. 6.-8  b. 6.-< %c. 6.23 $. 6.27 e. 6.21 -1. @ou are given the following !"A an$ :# 5 6.&-, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.16 an$ !"+ an$ # 5 6.3-. 'hat is !":#? a. 6.-8  b. 6.-< c. 6.23 %$. 6.27 e. 6.21 -&. @ou are given the following !"A an$ :# 5 6.1=, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.1- an$ !"+ an$ # 5 6.32. 'hat is !":#? a. 6.-8  b. 6.-< c. 6.23 $. 6.27 %e. 6.21 -3. @ou are given the following !"A an$ B# 5 6.18, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.18 an$ !"+ an$ # 5 6.3-. 'hat is !"+#? %a. 6.77  b. 6.72 c. 6.7< $. 6.73 e. 6.8& --. @ou are given the following !"A an$ :# 5 6.&6, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.12 an$ !"+ an$ # 5 6.33. 'hat is !"+#?

a. 6.77 %b. 6.72 c. 6.7< $. 6.73 e. 6.8& -2. @ou are given the following !"A an$ :# 5 6.1=, !"+ an$ :# 5 6.3<, !"A an$ # 5 6.13 an$ !"+ an$ # 5 6.36. 'hat is !"+#? a. 6.77  b. 6.72 %c. 6.7< $. 6.73 e. 6.8& -7. @ou are given the following !"A an$ :# 5 6.18, !"+ an$ :# 5 6.33, !"A an$ # 5 6.&6 an$ !"+ an$ # 5 6.3. 'hat is !"+#? a. 6.77  b. 6.72 c. 6.7< %$. 6.73 e. 6.8& -8. @ou are given the following !"A an$ :# 5 6.17, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.1& an$ !"+ an$ # 5 6.-6. 'hat is !"+#? a. 6.77  b. 6.72 c. 6.7< $. 6.73 %e. 6.8& -<. @ou are given the following !"A an$ :# 5 6.12, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.16 an$ !"+ an$ # 5 6.-3. 'hat is !"+#? %a. 6.82  b. 6.83 c. 6.71 $. 6.77 e. 6.78 -=. @ou are given the following !"A an$ :# 5 6.17, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.11 an$ !"+ an$ # 5 6.-1. 'hat is !"+#? a. 6.82 %b. 6.83 c. 6.71 $. 6.77 e. 6.78 26. @ou are given the following !"A an$ :# 5 6.18, !"+ an$ :# 5 6.37, !"A an$ # 5 6.16 an$ !"+ an$ # 5 6.38. 'hat is !"+#? a. 6.82 %b. 6.83

c. 6.71 $. 6.77 e. 6.78 21. @ou are given the following !"A an$ :# 5 6.&-, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.16 an$ !"+ an$ # 5 6.3-. 'hat is !"+#? a. 6.82  b. 6.83 c. 6.71 %$. 6.77 e. 6.78 2&. @ou are given the following !"A an$ :# 5 6.1=, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.1- an$ !"+ an$ # 5 6.32. 'hat is !"+#? a. 6.82  b. 6.83 c. 6.71 $. 6.77 %e. 6.78 23. @ou are given the following !"A an$ B# 5 6.18, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.18 an$ !"+ an$ # 5 6.3-. 'hat is !"#? %a. 6.21  b. 6.-< c. 6.-3 $. 6.26 e. 6.2& 2-. @ou are given the following !"A an$ :# 5 6.&6, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.12 an$ !"+ an$ # 5 6.33. 'hat is !"#? a. 6.21 %b. 6.-< c. 6.-3 $. 6.26 e. 6.2& 22. @ou are given the following !"A an$ :# 5 6.1=, !"+ an$ :# 5 6.3<, !"A an$ # 5 6.13 an$ !"+ an$ # 5 6.36. 'hat is !"#? a. 6.21  b. 6.-< %c. 6.-3 $. 6.26 e. 6.2& 27. @ou are given the following !"A an$ :# 5 6.18, !"+ an$ :# 5 6.33, !"A an$ # 5 6.&6 an$ !"+ an$ # 5 6.3. 'hat is !"#? a. 6.21  b. 6.-< c. 6.-3 %$. 6.26

e. 6.2& 28. @ou are given the following !"A an$ :# 5 6.17, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.1& an$ !"+ an$ # 5 6.-6. 'hat is !"#? a. 6.21  b. 6.-< c. 6.-3 $. 6.26 %e. 6.2& 2<. @ou are given the following !"A an$ B# 5 6.18, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.18 an$ !"+ an$ # 5 6.3-. 'hat is !"A or :#? %a. 6.77  b. 6.78 c. 6.86 $. 6.82 e. 6.76 2=. @ou are given the following !"A an$ :# 5 6.&6, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.12 an$ !"+ an$ # 5 6.33. 'hat is !"A or :#? a. 6.77 %b. 6.78 c. 6.86 $. 6.82 e. 6.76 76. @ou are given the following !"A an$ :# 5 6.1=, !"+ an$ :# 5 6.3<, !"A an$ # 5 6.13 an$ !"+ an$ # 5 6.36. 'hat is !"A or :#? a. 6.77  b. 6.78 %c. 6.86 $. 6.82 e. 6.76 71. @ou are given the following !"A an$ :# 5 6.18, !"+ an$ :# 5 6.33, !"A an$ # 5 6.&6 an$ !"+ an$ # 5 6.3. 'hat is !"A or :#? a. 6.77  b. 6.78 %c. 6.86 $. 6.82 e. 6.76 7&. @ou are given the following !"A an$ :# 5 6.17, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.1& an$ !"+ an$ # 5 6.-6. 'hat is !"A or :#? a. 6.77  b. 6.78 c. 6.86 $. 6.82 %e. 6.76

73. @ou are given the following !"A an$ B# 5 6.18, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.18 an$ !"+ an$ # 5 6.3-. 'hat is !"+ or :#? %a. 6.<3  b. 6.<2 c. 6.<8 $. 6.<6 e. 6.<< 7-. @ou are given the following !"A an$ :# 5 6.&6, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.12 an$ !"+ an$ # 5 6.33. 'hat is !"+ or :#? a. 6.<3 %b. 6.<2 c. 6.<8 $. 6.<6 e. 6.<< 72. @ou are given the following !"A an$ :# 5 6.1=, !"+ an$ :# 5 6.3<, !"A an$ # 5 6.13 an$ !"+ an$ # 5 6.36. 'hat is !"+ or :#? a. 6.<3  b. 6.<2 %c. 6.<8 $. 6.<6 e. 6.<< 77. @ou are given the following !"A an$ :# 5 6.18, !"+ an$ :# 5 6.33, !"A an$ # 5 6.&6 an$ !"+ an$ # 5 6.3. 'hat is !"+ or :#? a. 6.<3  b. 6.<2 c. 6.<8 %$. 6.<6 e. 6.<< 78. @ou are given the following !"A an$ :# 5 6.17, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.1& an$ !"+ an$ # 5 6.-6. 'hat is !"+ or :#? a. 6.<3  b. 6.<2 c. 6.<8 $. 6.<6 %e. 6.<< 7<. @ou are given the following !"A an$ B# 5 6.18, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.18 an$ !"+ an$ # 5 6.3-. 'hat is !"A or #? %a. 6.7<  b. 6.8& c. 6.7& $. 6.78 e. 6.71 7=. @ou are given the following !"A an$ :# 5 6.&6, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.12 an$ !"+ an$ # 5 6.33. 'hat is !"A or #?

%a. 6.7<  b. 6.8& c. 6.7& $. 6.78 e. 6.71 86. @ou are given the following !"A an$ :# 5 6.1=, !"+ an$ :# 5 6.3<, !"A an$ # 5 6.13 an$ !"+ an$ # 5 6.36. 'hat is !"A or #? a. 6.7<  b. 6.8& %c. 6.7& $. 6.78 e. 6.71 81. @ou are given the following !"A an$ :# 5 6.18, !"+ an$ :# 5 6.33, !"A an$ # 5 6.&6 an$ !"+ an$ # 5 6.3. 'hat is !"A or #? a. 6.7<  b. 6.8& c. 6.7& %$. 6.78 e. 6.71 8&. @ou are given the following !"A an$ :# 5 6.17, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.1& an$ !"+ an$ # 5 6.-6. 'hat is !"A or #? %a. 6.7<  b. 6.8& c. 6.7& $. 6.78 e. 6.71 83. @ou are given the following !"A an$ B# 5 6.18, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.18 an$ !"+ an$ # 5 6.3-. 'hat is !"+ or #? %a. 6.<3  b. 6.<6 c. 6.<1 $. 6.<= e. 6.<8-. @ou are given the following !"A an$ :# 5 6.&6, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.12 an$ !"+ an$ # 5 6.33. 'hat is !"+ or #? a. 6.<3 %b. 6.<6 c. 6.<1 $. 6.<= e. 6.<82. @ou are given the following !"A an$ :# 5 6.1=, !"+ an$ :# 5 6.3<, !"A an$ # 5 6.13 an$ !"+ an$ # 5 6.36. 'hat is !"+ or #? a. 6.<3  b. 6.<6

%c. 6.<1 $. 6.<= e. 6.<87. @ou are given the following !"A an$ :# 5 6.18, !"+ an$ :# 5 6.33, !"A an$ # 5 6.&6 an$ !"+ an$ # 5 6.3. 'hat is !"+ or #? %a. 6.<3  b. 6.<6 c. 6.<1 $. 6.<= e. 6.<88. @ou are given the following !"A an$ :# 5 6.17, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.1& an$ !"+ an$ # 5 6.-6. 'hat is !"+ or #? a. 6.<3  b. 6.<6 c. 6.<1 $. 6.<= %e. 6.<8<. @ou are given the following !"A an$ B# 5 6.18, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.18 an$ !"+ an$ # 5 6.3-. 'hat is !"A4:#? %a. 6.32  b. 6.3< c. 6.33 $. 6.3e. 6.36 8=. @ou are given the following !"A an$ :# 5 6.&6, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.12 an$ !"+ an$ # 5 6.33. 'hat is !"A4:#? a. 6.32 %b. 6.3< c. 6.33 $. 6.3e. 6.36 <6. @ou are given the following !"A an$ :# 5 6.1=, !"+ an$ :# 5 6.3<, !"A an$ # 5 6.13 an$ !"+ an$ # 5 6.36. 'hat is !"A4:#? a. 6.32  b. 6.3< %c. 6.33 $. 6.3e. 6.36 <1. @ou are given the following !"A an$ :# 5 6.18, !"+ an$ :# 5 6.33, !"A an$ # 5 6.&6 an$ !"+ an$ # 5 6.3. 'hat is !"A4:#? a. 6.32  b. 6.3< c. 6.33 %$. 6.3-

e. 6.36 <&. @ou are given the following !"A an$ :# 5 6.17, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.1& an$ !"+ an$ # 5 6.-6. 'hat is !"A4:#? a. 6.32  b. 6.3< %c. 6.33 $. 6.3e. 6.36 <3. @ou are given the following !"A an$ B# 5 6.18, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.18 an$ !"+ an$ # 5 6.3-. 'hat is !":4A#? %a. 6.26  b. 6.28 c. 6.2= $. 6.-7 e. 6.-& <-. @ou are given the following !"A an$ :# 5 6.&6, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.12 an$ !"+ an$ # 5 6.33. 'hat is !":4A#? a. 6.26 %b. 6.28 c. 6.2= $. 6.-7 e. 6.-& <2. @ou are given the following !"A an$ :# 5 6.1=, !"+ an$ :# 5 6.3<, !"A an$ # 5 6.13 an$ !"+ an$ # 5 6.36. 'hat is !":4A#? a. 6.26  b. 6.28 %c. 6.2= $. 6.-7 e. 6.-& <7. @ou are given the following !"A an$ :# 5 6.18, !"+ an$ :# 5 6.33, !"A an$ # 5 6.&6 an$ !"+ an$ # 5 6.3. 'hat is !":4A#? a. 6.26  b. 6.28 c. 6.2= %$. 6.-7 e. 6.-& <8. @ou are given the following !"A an$ :# 5 6.17, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.1& an$ !"+ an$ # 5 6.-6. 'hat is !":4A#? a. 6.26 %b. 6.28 c. 6.2= $. 6.-7 e. 6.-&

<<. @ou are given the following !"A an$ B# 5 6.18, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.18 an$ !"+ an$ # 5 6.3-. 'hat is !"+4#? %a. 6.78  b. 6.7= c. 6.86 $. 6.76 e. 6.88 <=. @ou are given the following !"A an$ :# 5 6.&6, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.12 an$ !"+ an$ # 5 6.33. 'hat is !"+4#? a. 6.78 %b. 6.7= c. 6.86 $. 6.76 e. 6.88 =6. @ou are given the following !"A an$ :# 5 6.1=, !"+ an$ :# 5 6.3<, !"A an$ # 5 6.13 an$ !"+ an$ # 5 6.36. 'hat is !"+4#? a. 6.78  b. 6.7= %c. 6.86 $. 6.76 e. 6.88 =1. @ou are given the following !"A an$ :# 5 6.18, !"+ an$ :# 5 6.33, !"A an$ # 5 6.&6 an$ !"+ an$ # 5 6.3. 'hat is !"+4#? a. 6.78  b. 6.7= c. 6.86 %$. 6.76 e. 6.88 =&. @ou are given the following !"A an$ :# 5 6.17, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.1& an$ !"+ an$ # 5 6.-6. 'hat is !"+4#? a. 6.78  b. 6.7= c. 6.86 $. 6.76 %e. 6.88 =3. @ou are given the following !"A an$ B# 5 6.18, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.18 an$ !"+ an$ # 5 6.3-. 'hat is !"+4:#? %a. 6.72  b. 6.7& c. 6.78 $. 6.77 e. 6.88 =-. @ou are given the following !"A an$ :# 5 6.&6, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.12 an$ !"+ an$ # 5 6.33. 'hat is !"+4:#?

a. 6.72 %b. 6.7& c. 6.78 $. 6.77 e. 6.88 =2. @ou are given the following !"A an$ :# 5 6.1=, !"+ an$ :# 5 6.3<, !"A an$ # 5 6.13 an$ !"+ an$ # 5 6.36. 'hat is !"+4:#? a. 6.72  b. 6.7& %c. 6.78 $. 6.77 e. 6.88 =7. @ou are given the following !"A an$ :# 5 6.18, !"+ an$ :# 5 6.33, !"A an$ # 5 6.&6 an$ !"+ an$ # 5 6.3. 'hat is !"+4:#? a. 6.72  b. 6.7& c. 6.78 %$. 6.77 e. 6.88 =8. @ou are given the following !"A an$ :# 5 6.17, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.1& an$ !"+ an$ # 5 6.-6. 'hat is !"+4:#? a. 6.72  b. 6.7& %c. 6.78 $. 6.77 e. 6.88 =<. @ou are given the following !"A an$ B# 5 6.18, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.18 an$ !"+ an$ # 5 6.3-. 'hat is !"4A#? %a. 6.26  b. 6.-3 c. 6.-1 $. 6.2e. 6.-< ==. @ou are given the following !"A an$ :# 5 6.&6, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.12 an$ !"+ an$ # 5 6.33. 'hat is !"4A#? a. 6.26 %b. 6.-3 c. 6.-1 $. 6.2e. 6.-< 166. @ou are given the following !"A an$ :# 5 6.1=, !"+ an$ :# 5 6.3<, !"A an$ # 5 6.13 an$ !"+ an$ # 5 6.36. 'hat is !"4A#? a. 6.26  b. 6.-3

%c. 6.-1 $. 6.2e. 6.-< 161. @ou are given the following !"A an$ :# 5 6.18, !"+ an$ :# 5 6.33, !"A an$ # 5 6.&6 an$ !"+ an$ # 5 6.3. 'hat is !"4A#? a. 6.26  b. 6.-3 c. 6.-1 %$. 6.2e. 6.-< 16&. @ou are given the following !"A an$ :# 5 6.17, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.1& an$ !"+ an$ # 5 6.-6. 'hat is !"4A#? a. 6.26 %b. 6.-3 c. 6.-1 $. 6.2e. 6.-< 163. @ou are given the following !"A an$ B# 5 6.18, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.18 an$ !"+ an$ # 5 6.3-. 'hat is !"A4#? %a. 6.33  b. 6.31 c. 6.36 $. 6.-6 e. 6.&3 16-. @ou are given the following !"A an$ :# 5 6.&6, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.12 an$ !"+ an$ # 5 6.33. 'hat is !"A4#? a. 6.33 %b. 6.31 c. 6.36 $. 6.-6 e. 6.&3 162. @ou are given the following !"A an$ :# 5 6.1=, !"+ an$ :# 5 6.3<, !"A an$ # 5 6.13 an$ !"+ an$ # 5 6.36. 'hat is !"A4#? a. 6.33  b. 6.31 %c. 6.36 $. 6.-6 e. 6.&3 167. @ou are given the following !"A an$ :# 5 6.18, !"+ an$ :# 5 6.33, !"A an$ # 5 6.&6 an$ !"+ an$ # 5 6.3. 'hat is !"A4#? a. 6.33  b. 6.31 c. 6.36 %$. 6.-6

e. 6.&3 168. @ou are given the following !"A an$ :# 5 6.17, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.1& an$ !"+ an$ # 5 6.-6. 'hat is !"A4#? a. 6.33  b. 6.31 c. 6.36 $. 6.-6 %e. 6.&3 16<. @ou are given the following !"A an$ B# 5 6.18, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.18 an$ !"+ an$ # 5 6.3-. 'hat is !":4+#? %a. 6.-<  b. 6.-= c. 6.27 $. 6.2& e. 6.-16=. @ou are given the following !"A an$ :# 5 6.&6, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.12 an$ !"+ an$ # 5 6.33. 'hat is !":4+#? a. 6.-< %b. 6.-= c. 6.27 $. 6.2& e. 6.-116. @ou are given the following !"A an$ :# 5 6.1=, !"+ an$ :# 5 6.3<, !"A an$ # 5 6.13 an$ !"+ an$ # 5 6.36. 'hat is !":4+#? a. 6.-<  b. 6.-= %c. 6.27 $. 6.2& e. 6.-111. @ou are given the following !"A an$ :# 5 6.18, !"+ an$ :# 5 6.33, !"A an$ # 5 6.&6 an$ !"+ an$ # 5 6.3. 'hat is !":4+#? a. 6.-<  b. 6.-= c. 6.27 %$. 6.2& e. 6.-11&. @ou are given the following !"A an$ :# 5 6.17, !"+ an$ :# 5 6.3&, !"A an$ # 5 6.1& an$ !"+ an$ # 5 6.-6. 'hat is !":4+#? a. 6.-<  b. 6.-= c. 6.27 $. 6.2& %e. 6.--

113. here is a -2C chance of Dohn passing mathematics. here is a 32C chance that Dohn will pass both mathematics an$ statistics. here is a 86C chance that he will  pass either mathematics or statistics or both. Dohn has been informe$ that he has  passe$ statistics, what is the probability that he will pass mathematics? %a. 6.2<  b. 6.<< c. 6.22 $. 6.86 e. 6.12 11-. here is a 72C chance of Dohn passing mathematics. here is a 32C chance that Dohn will pass both mathematics an$ statistics. here is a 86C chance that he will  pass either mathematics or statistics or both. Dohn has been informe$ that he has  passe$ statistics, what is the probability that he will pass mathematics? a. 6.2< %b. 6.<< c. 6.22 $. 6.86 e. 6.12 112. here is a -2C chance of Dohn passing mathematics. here is a 36C chance that Dohn will pass both mathematics an$ statistics. here is a 86C chance that he will  pass either mathematics or statistics or both. Dohn has been informe$ that he has  passe$ statistics, what is the probability that he will pass mathematics? a. 6.2<  b. 6.<< %c. 6.22 $. 6.86 e. 6.12 117. here is a -2C chance of Dohn passing mathematics. here is a 32C chance that Dohn will pass both mathematics an$ statistics. here is a 76C chance that he will  pass either mathematics or statistics or both. Dohn has been informe$ that he has  passe$ statistics, what is the probability that he will pass mathematics? a. 6.2<  b. 6.<< c. 6.22 %$. 6.86 e. 6.12 118. here is a -2C chance of Aisha passing economics. here is a 32C chance that Aisha will pass both economics an$ accounting. here is a <6C chance that she will  pass either economics or accounting or both. Aisha has been informe$ that she has  passe$ accounting, what is the probability that she will pass economics? %a. 6.26  b. 6.7& c. 6.7$. 6.-e. 6.12

11<. here is a -2C chance of Aisha passing economics. here is a -6C chance that Aisha will pass both economics an$ accounting. here is a 86C chance that she will  pass either economics or accounting or both. Aisha has been informe$ that she has  passe$ accounting, what is the probability that she will pass economics? a. 6.26 %b. 6.7& c. 6.7$. 6.-e. 6.12 11=. here is a 26C chance of Aisha passing economics. here is a 32C chance that Aisha will pass both economics an$ accounting. here is a 86C chance that she will  pass either economics or accounting or both. Aisha has been informe$ that she has  passe$ accounting, what is the probability that she will pass economics? a. 6.26  b. 6.7& %c. 6.7$. 6.-e. 6.12 1&6. here is a -2C chance of Aisha passing economics. here is a &6C chance that Aisha will pass both economics an$ accounting. here is a 86C chance that she will  pass either economics or accounting or both. Aisha has been informe$ that she has  passe$ accounting, what is the probability that she will pass economics? a. 6.26  b. 6.7& c. 6.7%$. 6.-e. 6.12 1&1. An >)ray test is use$ to $etect a $isease that occurs, initially without any obvious symptoms, in 3C of the population. he test has the following error rates 8C of  people who are $isease free have a positive result an$ &C of the people who have the $isease have a negative result. A large number of people are screene$ at ran$om using the test, an$ those with a positive result are e(amine$ further. 'hat proportion of  people who have the $isease are correctly teste$? %a. 6.=<6  b. 6.36& c. 6.661 $. 6.67= e. 6.2-& 1&&. An >)ray test is use$ to $etect a $isease that occurs, initially without any obvious symptoms, in 3C of the population. he test has the following error rates 8C of  people who are $isease free have a positive result an$ &C of the people who have the $isease have a negative result. A large number of people are screene$ at ran$om using the test, an$ those with a positive result are e(amine$ further. 'hat proportion of  people with a positive result actually have the $isease? a. 6.=<6

%b. 6.36& c. 6.661 $. 6.67= e. 6.2-& 1&3. An >)ray test is use$ to $etect a $isease that occurs, initially without any obvious symptoms, in 3C of the population. he test has the following error rates 8C of  people who are $isease free have a positive result an$ &C of the people who have the $isease have a negative result. A large number of people are screene$ at ran$om using the test, an$ those with a positive result are e(amine$ further. 'hat proportion of  people with a negative result actually have the $isease? a. 6.=<6  b. 6.36& %c. 6.661 $. 6.67= e. 6.2-& 1&-. An >)ray test is use$ to $etect a $isease that occurs, initially without any obvious symptoms, in 3C of the population. he test has the following error rates 8C of  people who are $isease free have a positive result an$ &C of the people who have the $isease have a negative result. A large number of people are screene$ at ran$om using the test, an$ those with a positive result are e(amine$ further. 'hat proportion of the tests con$ucte$ give incorrect results? a. 6.=<6  b. 6.36& c. 6.661 %$. 6.67= e. 6.2-& 1&2. An a$vertising e(ecutive is stu$ying television)viewing habits of marrie$ men an$ women $uring prime time hours. En the basis of past viewing recor$s, the e(ecutive has $etermine$ that $uring prime time, husban$s are watching television 76C of the time. It has also been $etermine$ that when the husban$ is watching television, -6C of the time the wife is also watching. 'hen the husban$ is not watching television, 36C of the time the wife is watching television. 9in$ the  probability that if the wife is watching television, the husban$ is also watching television. %a. 6.78  b. 6.28 c. 6.23 $. 6.82 e. 6.-8 1&7. An a$vertising e(ecutive is stu$ying television)viewing habits of marrie$ men an$ women $uring prime time hours. En the basis of past viewing recor$s, the e(ecutive has $etermine$ that $uring prime time, husban$s are watching television 26C of the time. It has also been $etermine$ that when the husban$ is watching television, -6C of the time the wife is also watching. 'hen the husban$ is not watching television, 36C of the time the wife is watching television. 9in$ the

 probability that if the wife is watching television, the husban$ is also watching television. a. 6.78 %b. 6.28 c. 6.23 $. 6.82 e. 6.-8 1&8. An a$vertising e(ecutive is stu$ying television)viewing habits of marrie$ men an$ women $uring prime time hours. En the basis of past viewing recor$s, the e(ecutive has $etermine$ that $uring prime time, husban$s are watching television 76C of the time. It has also been $etermine$ that when the husban$ is watching television, 36C of the time the wife is also watching. 'hen the husban$ is not watching television, -6C of the time the wife is watching television. 9in$ the  probability that if the wife is watching television, the husban$ is also watching television. a. 6.78  b. 6.28 %c. 6.23 $. 6.82 e. 6.-8 1&<. An a$vertising e(ecutive is stu$ying television)viewing habits of marrie$ men an$ women $uring prime time hours. En the basis of past viewing recor$s, the e(ecutive has $etermine$ that $uring prime time, husban$s are watching television 76C of the time. It has also been $etermine$ that when the husban$ is watching television, -6C of the time the wife is also watching. 'hen the husban$ is not watching television, &6C of the time the wife is watching television. 9in$ the  probability that if the wife is watching television, the husban$ is also watching television. a. 6.78  b. 6.28 c. 6.23 %$. 6.82 e. 6.-8 1&=. An a$vertising e(ecutive is stu$ying television)viewing habits of marrie$ men an$ women $uring prime time hours. En the basis of past viewing recor$s, the e(ecutive has $etermine$ that $uring prime time, husban$s are watching television -6C of the time. It has also been $etermine$ that when the husban$ is watching television, -6C of the time the wife is also watching. 'hen the husban$ is not watching television, 36C of the time the wife is watching television. 9in$ the  probability that if the wife is watching television, the husban$ is also watching television. a. 6.78  b. 6.28 c. 6.23 $. 6.82 %e. 6.-8

136. An a$vertising e(ecutive is stu$ying television)viewing habits of marrie$ men an$ women $uring prime time hours. En the basis of past viewing recor$s, the e(ecutive has $etermine$ that $uring prime time, husban$s are watching television 76C of the time. It has also been $etermine$ that when the husban$ is watching television, -6C of the time the wife is also watching. 'hen the husban$ is not watching television, 36C of the time the wife is watching television. 9in$ the  probability that the wife is watching television in prime time. %a. 6.37  b. 6.32 c. 6.3$. 6.3& e. 6.3= 131. An a$vertising e(ecutive is stu$ying television)viewing habits of marrie$ men an$ women $uring prime time hours. En the basis of past viewing recor$s, the e(ecutive has $etermine$ that $uring prime time, husban$s are watching television 26C of the time. It has also been $etermine$ that when the husban$ is watching television, -6C of the time the wife is also watching. 'hen the husban$ is not watching television, 36C of the time the wife is watching television. 9in$ the  probability that the wife is watching television in prime time. a. 6.37 %b. 6.32 c. 6.3$. 6.3& e. 6.3= 13&. An a$vertising e(ecutive is stu$ying television)viewing habits of marrie$ men an$ women $uring prime time hours. En the basis of past viewing recor$s, the e(ecutive has $etermine$ that $uring prime time, husban$s are watching television 76C of the time. It has also been $etermine$ that when the husban$ is watching television, 36C of the time the wife is also watching. 'hen the husban$ is not watching television, -6C of the time the wife is watching television. 9in$ the  probability that the wife is watching television in prime time. a. 6.37  b. 6.32 %c. 6.3$. 6.3& e. 6.3= 133. An a$vertising e(ecutive is stu$ying television)viewing habits of marrie$ men an$ women $uring prime time hours. En the basis of past viewing recor$s, the e(ecutive has $etermine$ that $uring prime time, husban$s are watching television 76C of the time. It has also been $etermine$ that when the husban$ is watching television, -6C of the time the wife is also watching. 'hen the husban$ is not watching television, &6C of the time the wife is watching television. 9in$ the  probability that the wife is watching television in prime time. a. 6.37  b. 6.32 c. 6.3%$. 6.3&

e. 6.3= 13-. An a$vertising e(ecutive is stu$ying television)viewing habits of marrie$ men an$ women $uring prime time hours. En the basis of past viewing recor$s, the e(ecutive has $etermine$ that $uring prime time, husban$s are watching television -6C of the time. It has also been $etermine$ that when the husban$ is watching television, -6C of the time the wife is also watching. 'hen the husban$ is not watching television, 36C of the time the wife is watching television. 9in$ the  probability that the wife is watching television in prime time. a. 6.37  b. 6.32 %c. 6.3$. 6.3& e. 6.3= 132. Accor$ing to a recent survey of A househol$s, the probability that the resi$ents of a househol$ own two cars if their annual househol$ income is over F126,666 is <6C. Ef the househol$s surveye$, 76C ha$ incomes over F126,666 an$ 86C ha$ two cars. 'hat is the probability that the resi$ents of a househol$ own two cars an$ have an annual househol$ income of over F126,666? %a. 6.-<  b. 6.-6 c. 6.37 $. 6.2& e. 6.2137. Accor$ing to a recent survey of A househol$s, the probability that the resi$ents of a househol$ own two cars if their annual househol$ income is over F126,666 is <6C. Ef the househol$s surveye$, 26C ha$ incomes over F126,666 an$ 86C ha$ two cars. 'hat is the probability that the resi$ents of a househol$ own two cars an$ have an annual househol$ income of over F126,666? a. 6.-< %b. 6.-6 c. 6.37 $. 6.2& e. 6.2138. Accor$ing to a recent survey of A househol$s, the probability that the resi$ents of a househol$ own two cars if their annual househol$ income is over F126,666 is 76C. Ef the househol$s surveye$, 76C ha$ incomes over F126,666 an$ 86C ha$ two cars. 'hat is the probability that the resi$ents of a househol$ own two cars an$ have an annual househol$ income of over F126,666? a. 6.-<  b. 6.-6 %c. 6.37 $. 6.2& e. 6.213<. Accor$ing to a recent survey of A househol$s, the probability that the resi$ents of a househol$ own two cars if their annual househol$ income is over F126,666 is

<6C. Ef the househol$s surveye$, 72C ha$ incomes over F126,666 an$ 86C ha$ two cars. 'hat is the probability that the resi$ents of a househol$ own two cars an$ have an annual househol$ income of over F126,666? a. 6.-<  b. 6.-6 c. 6.37 %$. 6.2& e. 6.213=. Accor$ing to a recent survey of A househol$s, the probability that the resi$ents of a househol$ own two cars if their annual househol$ income is over F126,666 is =6C. Ef the househol$s surveye$, 76C ha$ incomes over F126,666 an$ 86C ha$ two cars. 'hat is the probability that the resi$ents of a househol$ own two cars an$ have an annual househol$ income of over F126,666? a. 6.-<  b. 6.-6 c. 6.37 $. 6.2& %e. 6.21-6. Accor$ing to a recent survey of A househol$s, the probability that the resi$ents of a househol$ own two cars if their annual househol$ income is over F126,666 is <6C. Ef the househol$s surveye$, 76C ha$ incomes over F126,666 an$ 86C ha$ two cars. 'hat is the probability that the resi$ents of a househol$ $o not own two cars but $o have an annual househol$ income of over F126,666? %a. 6.1&  b. 6.16 c. 6.&$. 6.13 e. 6.67 1-1. Accor$ing to a recent survey of A househol$s, the probability that the resi$ents of a househol$ own two cars if their annual househol$ income is over F126,666 is <6C. Ef the househol$s surveye$, 26C ha$ incomes over F126,666 an$ 86C ha$ two cars. 'hat is the probability that the resi$ents of a househol$ $o not own two cars but $o have an annual househol$ income of over F126,666? a. 6.1& %b. 6.16 c. 6.&$. 6.13 e. 6.67 1-&. Accor$ing to a recent survey of A househol$s, the probability that the resi$ents of a househol$ own two cars if their annual househol$ income is over F126,666 is 76C. Ef the househol$s surveye$, 76C ha$ incomes over F126,666 an$ 86C ha$ two cars. 'hat is the probability that the resi$ents of a househol$ $o not own two cars but $o have an annual househol$ income of over F126,666? a. 6.1&  b. 6.16 %c. 6.&-

$. 6.13 e. 6.67 1-3. Accor$ing to a recent survey of A househol$s, the probability that the resi$ents of a househol$ own two cars if their annual househol$ income is over F126,666 is <6C. Ef the househol$s surveye$, 72C ha$ incomes over F126,666 an$ 86C ha$ two cars. 'hat is the probability that the resi$ents of a househol$ $o not own two cars but $o have an annual househol$ income of over F126,666? a. 6.1&  b. 6.16 c. 6.&%$. 6.13 e. 6.67 1--. Accor$ing to a recent survey of A househol$s, the probability that the resi$ents of a househol$ own two cars if their annual househol$ income is over F126,666 is =6C. Ef the househol$s surveye$, 76C ha$ incomes over F126,666 an$ 86C ha$ two cars. 'hat is the probability that the resi$ents of a househol$ $o not own two cars but $o have an annual househol$ income of over F126,666? a. 6.1&  b. 6.16 c. 6.&$. 6.13 %e. 6.67 1-2. Accor$ing to a recent survey of A househol$s, the probability that the resi$ents of a househol$ own two cars if their annual househol$ income is over F126,666 is <6C. Ef the househol$s surveye$, 76C ha$ incomes over F126,666 an$ 86C ha$ two cars. 'hat is the probability that the annual househol$ income is over F126,666 if the resi$ents of a househol$ own two cars? %a. 6.7=  b. 6.28 c. 6.21 $. 6.8e. 6.88 1-7. Accor$ing to a recent survey of A househol$s, the probability that the resi$ents of a househol$ own two cars if their annual househol$ income is over F126,666 is <6C. Ef the househol$s surveye$, 26C ha$ incomes over F126,666 an$ 86C ha$ two cars. 'hat is the probability that the annual househol$ income is over F126,666 if the resi$ents of a househol$ own two cars? a. 6.7= %b. 6.28 c. 6.21 $. 6.8e. 6.88 1-8. Accor$ing to a recent survey of A househol$s, the probability that the resi$ents of a househol$ own two cars if their annual househol$ income is over F126,666 is 76C. Ef the househol$s surveye$, 76C ha$ incomes over F126,666 an$ 86C ha$

two cars. 'hat is the probability that the annual househol$ income is over F126,666 if the resi$ents of a househol$ own two cars? a. 6.7=  b. 6.28 %c. 6.21 $. 6.8e. 6.88 1-<. Accor$ing to a recent survey of A househol$s, the probability that the resi$ents of a househol$ own two cars if their annual househol$ income is over F126,666 is <6C. Ef the househol$s surveye$, 72C ha$ incomes over F126,666 an$ 86C ha$ two cars. 'hat is the probability that the annual househol$ income is over F126,666 if the resi$ents of a househol$ own two cars? a. 6.7=  b. 6.28 c. 6.21 %$. 6.8e. 6.88 1-=. Accor$ing to a recent survey of A househol$s, the probability that the resi$ents of a househol$ own two cars if their annual househol$ income is over F126,666 is =6C. Ef the househol$s surveye$, 76C ha$ incomes over F126,666 an$ 86C ha$ two cars. 'hat is the probability that the annual househol$ income is over F126,666 if the resi$ents of a househol$ own two cars? a. 6.7=  b. 6.28 c. 6.21 $. 6.8%e. 6.88 126. @ou are given the following probability $istribution p"1# 5 6.&, p"3# 5 6.12, p"2# 5 6.7 an$ p"8# 5 6.62. 'hat is !"> G &#? %a. 6.<6  b. 6.86 c. 6.<2 $. 6.=6 e. 6.=2 121. @ou are given the following probability $istribution p"1# 5 6.3, p"3# 5 6.12, p"2# 5 6.2 an$ p"8# 5 6.62. 'hat is !"> G &#? a. 6.<6 %b. 6.86 c. 6.<2 $. 6.=6 e. 6.=2 12&. @ou are given the following probability $istribution p"1# 5 6.12, p"3# 5 6.&, p"2# 5 6.7 an$ p"8# 5 6.62. 'hat is !"> G &#? a. 6.<6  b. 6.86

%c. 6.<2 $. 6.=6 e. 6.=2 123. @ou are given the following probability $istribution p"1# 5 6.&, p"3# 5 6.12, p"2# 5 6.22 an$ p"8# 5 6.1. 'hat is !"> G &#? %a. 6.<6  b. 6.86 c. 6.<2 $. 6.=6 e. 6.=2 12-. @ou are given the following probability $istribution p"1# 5 6.62, p"3# 5 6.3, p"2# 5 6.7 an$ p"8# 5 6.62. 'hat is !"> G &#? a. 6.<6  b. 6.86 c. 6.<2 $. 6.=6 %e. 6.=2 122. @ou are given the following probability $istribution p"1# 5 6.&, p"3# 5 6.12, p"2# 5 6.7 an$ p"8# 5 6.62. 'hat is !"> H 3#? %a. 6.32  b. 6.-2 c. 6.3< $. 6.-& e. 6.-8 127. @ou are given the following probability $istribution p"1# 5 6.3, p"3# 5 6.12, p"2# 5 6.2 an$ p"8# 5 6.62. 'hat is !"> H 3#? a. 6.32 %b. 6.-2 c. 6.3< $. 6.-& e. 6.-8 128. @ou are given the following probability $istribution p"1# 5 6.12, p"3# 5 6.&, p"2# 5 6.7 an$ p"8# 5 6.62. 'hat is !"> H 3#? %a. 6.32  b. 6.-2 c. 6.3< $. 6.-& e. 6.-8 12<. @ou are given the following probability $istribution p"1# 5 6.&, p"3# 5 6.12, p"2# 5 6.22 an$ p"8# 5 6.1. 'hat is !"> H 3#? %a. 6.32  b. 6.-2 c. 6.3< $. 6.-&

e. 6.-8 12=. @ou are given the following probability $istribution p"1# 5 6.62, p"3# 5 6.3, p"2# 5 6.7 an$ p"8# 5 6.62. 'hat is !"> H 3#? %a. 6.32  b. 6.-2 c. 6.3< $. 6.-& e. 6.-8 176. @ou are given the following probability $istribution p")&# 5 6.&, p"6# 5 6.12,  p"&# 5 6.7 an$ p"-# 5 6.62. 'hat is !"> G &#? %a. 6.62  b. 6.16 c. 6.6$. 6.12 e. 6.&6 171. @ou are given the following probability $istribution p")&# 5 6.3, p"6# 5 6.12,  p"&# 5 6.-2 an$ p"-# 5 6.1. 'hat is !"> G &#? a. 6.62 %b. 6.16 c. 6.6$. 6.12 e. 6.&6 17&. @ou are given the following probability $istribution p")&# 5 6.12, p"6# 5 6.&,  p"&# 5 6.71 an$ p"-# 5 6.6-. 'hat is !"> G &#? a. 6.62  b. 6.16 %c. 6.6$. 6.12 e. 6.&6 173. @ou are given the following probability $istribution p")&# 5 6.&, p"6# 5 6.12,  p"&# 5 6.2 an$ p"-# 5 6.12. 'hat is !"> G &#? a. 6.62  b. 6.16 c. 6.6%$. 6.12 e. 6.&6 17-. @ou are given the following probability $istribution p")&# 5 6.62, p"6# 5 6.12,  p"&# 5 6.7 an$ p"-# 5 6.&. 'hat is !"> G &#? a. 6.62  b. 6.16 c. 6.6$. 6.12 %e. 6.&6

172. @ou are given the following probability $istribution p")&# 5 6.&, p"6# 5 6.12,  p"&# 5 6.7 an$ p"-# 5 6.62. 'hat is !"> H &#? %a. 6.=2  b. 6.=6 c. 6.=7 $. 6.<2 e. 6.< 177. @ou are given the following probability $istribution p")&# 5 6.3, p"6# 5 6.12,  p"&# 5 6.-2 an$ p"-# 5 6.1. 'hat is !"> H &#? a. 6.=2 %b. 6.=6 c. 6.=7 $. 6.<2 e. 6.< 178. @ou are given the following probability $istribution p")&# 5 6.12, p"6# 5 6.&,  p"&# 5 6.71 an$ p"-# 5 6.6-. 'hat is !"> H &#? a. 6.=2  b. 6.=6 %c. 6.=7 $. 6.<2 e. 6.< 17<. @ou are given the following probability $istribution p")&# 5 6.&, p"6# 5 6.12,  p"&# 5 6.2 an$ p"-# 5 6.12. 'hat is !"> H &#? a. 6.=2  b. 6.=6 c. 6.=7 %$. 6.<2 e. 6.< 17=. @ou are given the following probability $istribution p")&# 5 6.62, p"6# 5 6.12,  p"&# 5 6.7 an$ p"-# 5 6.&. 'hat is !"> H &#? a. 6.=2  b. 6.=6 c. 6.=7 $. 6.<2 %e. 6.< 186. @ou are given the following probability $istribution p"1# 5 6.&, p"3# 5 6.12, p"2# 5 6.7 an$ p"8# 5 6.62. 'hat is :">#? %a. -.66  b. 3.76 c. -.16 $. 3.16 e. -.36 181. @ou are given the following probability $istribution p"1# 5 6.3, p"3# 5 6.12, p"2# 5 6.2 an$ p"8# 5 6.62. 'hat is :">#?

a. -.66 %b. 3.76 c. -.16 $. 3.16 e. -.36 18&. @ou are given the following probability $istribution p"1# 5 6.12, p"3# 5 6.&, p"2# 5 6.7 an$ p"8# 5 6.62. 'hat is :">#? a. -.66  b. 3.76 %c. -.16 $. 3.16 e. -.36 183. @ou are given the following probability $istribution p"1# 5 6.&, p"3# 5 6.12, p"2# 5 6.22 an$ p"8# 5 6.1. 'hat is :">#? a. -.66  b. 3.76 %c. -.16 $. 3.16 e. -.36 18-. @ou are given the following probability $istribution p"1# 5 6.62, p"3# 5 6.3, p"2# 5 6.7 an$ p"8# 5 6.62. 'hat is :">#? a. -.66  b. 3.76 c. -.16 $. 3.16 %e. -.36 182. @ou are given the following probability $istribution p"1# 5 6.&, p"3# 5 6.12, p"2# 5 6.7 an$ p"8# 5 6.62. 'hat is ">#? %a. 3.66  b. 3.7c. &.2= $. 3.3= e. 1.18 187. @ou are given the following probability $istribution p"1# 5 6.3, p"3# 5 6.12, p"2# 5 6.2 an$ p"8# 5 6.62. 'hat is ">#? a. 3.66 %b. 3.7c. &.2= $. 3.3= e. 1.18 188. @ou are given the following probability $istribution p"1# 5 6.12, p"3# 5 6.&, p"2# 5 6.7 an$ p"8# 5 6.62. 'hat is ">#? a. 3.66  b. 3.7-

%c. &.2= $. 3.3= e. 1.18 18<. @ou are given the following probability $istribution p"1# 5 6.&, p"3# 5 6.12, p"2# 5 6.22 an$ p"8# 5 6.1. 'hat is ">#? a. 3.66  b. 3.7c. &.2= %$. 3.3= e. 1.18 18=. @ou are given the following probability $istribution p"1# 5 6.62, p"3# 5 6.3, p"2# 5 6.7 an$ p"8# 5 6.62. 'hat is ">#? a. 3.66  b. 3.7c. &.2= $. 3.3= %e. 1.18 1<6. @ou are given the following probability $istribution p")&# 5 6.&, p"6# 5 6.12,  p"&# 5 6.7 an$ p"-# 5 6.62. 'hat is :">#? %a. 1.66  b. 6.86 c. 1.6< $. 1.&6 e. 1.=6 1<1. @ou are given the following probability $istribution p")&# 5 6.3, p"6# 5 6.12,  p"&# 5 6.-2 an$ p"-# 5 6.1. 'hat is :">#? a. 1.66 %b. 6.86 c. 1.6< $. 1.&6 e. 1.=6 1<&. @ou are given the following probability $istribution p")&# 5 6.12, p"6# 5 6.&,  p"&# 5 6.71 an$ p"-# 5 6.6-. 'hat is :">#? a. 1.66  b. 6.86 %c. 1.6< $. 1.&6 e. 1.=6 1<3. @ou are given the following probability $istribution p")&# 5 6.&, p"6# 5 6.12,  p"&# 5 6.2 an$ p"-# 5 6.12. 'hat is :">#? a. 1.66  b. 6.86 c. 1.6< %$. 1.&6

e. 1.=6 1<-. @ou are given the following probability $istribution p")&# 5 6.62, p"6# 5 6.12,  p"&# 5 6.7 an$ p"-# 5 6.&. 'hat is :">#? a. 1.66  b. 6.86 c. 1.6< $. 1.&6 %e. 1.=6 1<2. @ou are given the following probability $istribution p")&# 5 6.&, p"6# 5 6.12,  p"&# 5 6.7 an$ p"-# 5 6.62. 'hat is the stan$ar$ $eviation of >? %a. 1.83  b. &.63 c. 1.2= $. 1.=e. 1.-< 1<7. @ou are given the following probability $istribution p")&# 5 6.3, p"6# 5 6.12,  p"&# 5 6.-2 an$ p"-# 5 6.1. 'hat is the stan$ar$ $eviation of >? a. 1.83 %b. &.63 c. 1.2= $. 1.=e. 1.-< 1<8. @ou are given the following probability $istribution p")&# 5 6.12, p"6# 5 6.&,  p"&# 5 6.71 an$ p"-# 5 6.6-. 'hat is the stan$ar$ $eviation of >? a. 1.83  b. &.63 %c. 1.2= $. 1.=e. 1.-< 1<<. @ou are given the following probability $istribution p")&# 5 6.&, p"6# 5 6.12,  p"&# 5 6.2 an$ p"-# 5 6.12. 'hat is the stan$ar$ $eviation of >? a. 1.83  b. &.63 c. 1.2= %$. 1.=e. 1.-< 1<=. @ou are given the following probability $istribution p")&# 5 6.62, p"6# 5 6.12,  p"&# 5 6.7 an$ p"-# 5 6.&. 'hat is the stan$ar$ $eviation of >? a. 1.83  b. &.63 c. 1.2= $. 1.=%e. 1.-<

1=6. If > an$ @ are ran$om variables with :"># 5 2 an$ :"@# 5 <, then :"&> * 3@# is %a. 3 b. 3= c. &7 $. 37 e. -6 1=1. If > an$ @ are ran$om variables with :"># 5 2 an$ :"@# 5 <, then :"3> * 3@# is a. 3%b. 3= c. &7 $. 37 e. -6 1=&. If > an$ @ are ran$om variables with :"># 5 2 an$ :"@# 5 <, then :"&> * &@# is a. 3 b. 3= %c. &7 $. 37 e. -6 1=3. If > an$ @ are ran$om variables with :"># 5 7 an$ :"@# 5 <, then :"&> * 3@# is a. 3 b. 3= c. &7 %$. 37 e. -6 1=-. If > an$ @ are ran$om variables with :"># 5 2 an$ :"@# 5 16, then :"&> * 3@# is a. 3 b. 3= c. &7 $. 37 %e. -6 1=2. If > an$ @ are ran$om variables with "># 5 & an$ "@# 5 3, then "&> an$ @# is %a. 11  b. &6. c. 8 $. 17 e. 1= 1=7. If > an$ @ are ran$om variables with "># 5 & an$ "@# 5 3, then "&> an$ &@# is

a. 11 %b. &6. c. 8 $. 17 e. 1= 1=8. If > an$ @ are ran$om variables with "># 5 1 an$ "@# 5 3, then "&> an$ @# is a. 11  b. &6. %c. 8 $. 17 e. 1= 1=<. If > an$ @ are ran$om variables with "># 5 1 an$ "@# 5 3, then "&> an$ &@# is a. 11  b. &6. c. 8 %$. 17 e. 1= 1==. If > an$ @ are ran$om variables with "># 5 - an$ "@# 5 3, then "&> an$ @# is a. 11  b. &6. c. 8 $. 17 %e. 1= &66. @ou are given the following probability $istribution p")1# 5 6.-, p"&# 5 6.1, p"3# 5 6.3 an$ p"8# 5 6.&. 'hat is :"2> * &#? %a. 1&.2  b. 11.< c. 1-.2 $. 18.6 e. 1&.3 &61. @ou are given the following probability $istribution p")1# 5 6.-, p"&# 5 6.&2,  p"3# 5 6.12 an$ p"8# 5 6.&. 'hat is :"2> * &#? a. 1&.2 %b. 11.< c. 1-.2 $. 18.6 e. 1&.3 &6&. @ou are given the following probability $istribution p")1# 5 6.-, p"&# 5 6.1, p"3# 5 6.& an$ p"8# 5 6.3. 'hat is :"2> * &#? a. 1&.2  b. 11.<

%c. 1-.2 $. 18.6 e. 1&.3 &63. @ou are given the following probability $istribution p")1# 5 6.1, p"&# 5 6.-, p"3# 5 6.3 an$ p"8# 5 6.&. 'hat is :"2> * &#? a. 1&.2  b. 11.< c. 1-.2 %$. 18.6 e. 1&.3 &6-. @ou are given the following probability $istribution p")1# 5 6.-, p"&# 5 6.12,  p"3# 5 6.&2 an$ p"8# 5 6.&. 'hat is :"2> * &#? a. 1&.2  b. 11.< c. 1-.2 $. 18.6 %e. 1&.3 &62. @ou are given the following probability $istribution p")1# 5 6.-, p"&# 5 6.1, p"3# 5 6.3 an$ p"8# 5 6.&. 'hat is "3> ) 1#? %a. <6.6  b. 8<.8 c. ==.2 $. -7.< e. 8=.7 &67. @ou are given the following probability $istribution p")1# 5 6.-, p"&# 5 6.&2,  p"3# 5 6.12 an$ p"8# 5 6.&. 'hat is "3> ) 1#? a. <6.6 %b. 8<.8 c. ==.2 $. -7.< e. 8=.7 &68. @ou are given the following probability $istribution p")1# 5 6.-, p"&# 5 6.1, p"3# 5 6.& an$ p"8# 5 6.3. 'hat is "3> ) 1#? a. <6.6  b. 8<.8 %c. ==.2 $. -7.< e. 8=.7 &6<. @ou are given the following probability $istribution p")1# 5 6.1, p"&# 5 6.-, p"3# 5 6.3 an$ p"8# 5 6.&. 'hat is "3> ) 1#? a. <6.6  b. 8<.8 c. ==.2 %$. -7.<

e. 8=.7 &6=. @ou are given the following probability $istribution p")1# 5 6.-, p"&# 5 6.12,  p"3# 5 6.&2 an$ p"8# 5 6.&. 'hat is "3> ) 1#? a. <6.6  b. 8<.8 c. ==.2 $. -7.< %e. 8=.7 &16. @ou are given the following probability $istribution p")&# 5 6.&, p"6# 5 6.12,  p"&# 5 6.7 an$ p"-# 5 6.62. 'hat is :"->  1#? %a. 3.66  b. 1.<6 c. 3.3& $. 3.<6 e. 7.76 &11. @ou are given the following probability $istribution p")&# 5 6.3, p"6# 5 6.12,  p"&# 5 6.-2 an$ p"-# 5 6.1. 'hat is :"->  1#? a. 3.66 %b. 1.<6 c. 3.3& $. 3.<6 e. 7.76 &1&. @ou are given the following probability $istribution p")&# 5 6.12, p"6# 5 6.&,  p"&# 5 6.71 an$ p"-# 5 6.6-. 'hat is :"->  1#? a. 3.66  b. 1.<6 %c. 3.3& $. 3.<6 e. 7.76 &13. @ou are given the following probability $istribution p")&# 5 6.&, p"6# 5 6.12,  p"&# 5 6.2 an$ p"-# 5 6.12. 'hat is :"->  1#? a. 3.66  b. 1.<6 c. 3.3& %$. 3.<6 e. 7.76 &1-. @ou are given the following probability $istribution p")&# 5 6.62, p"6# 5 6.12,  p"&# 5 6.7 an$ p"-# 5 6.&. 'hat is :"->  1#? a. 3.66  b. 1.<6 c. 3.3& $. 3.<6 %e. 7.76