For persons persons infecte infected d with a certain certain form form of malaria malaria,, the length length of time spent spent in remiss remission ion is describ described ed by 1
the continuous pdf
2
f Y ( y )= y , 0 ≤ y ≤ 3 , where Y is measured in years. What is the probability that 9
a malaria patient’s remission lasts longer than one year? Penyelesaian.
Diketahui
Ditanya !olusi
1
2
f Y ( y )= y , 0 ≤ y ≤ 3 Continuous probability density function function 9 P (1 ≤ Y ≤ 3 ) 3
∫ 19 y dy
P (1 ≤ Y ≤ 3 )=
2
1
¿
¿
1 27
1 27
¿ 1−
3
y
{
3 1
3
3 −
1 27
3
1
1 27
¿ 0.9630 "adi, probabilitas waktu remisi pasien malaria lebih dari # tahun berdasaran pdf tersebut adalah $.%&3$.
