METODOS PROBABILISTICOS
CÓDIGO: 104561A_611
Estudiante
YEISON VARGAS MENDOZA Cód.: 8!"#
%$GR3PO: &%
Ta'ea & ( Int')du**ión a +)s ,)de+)s -')ai+/sti*)s de de*isión 0 )-ti,i1a*ión
Tut)' 2OSE DANIEL GOMEZ
3NIVERSIDAD NACIONAL ABIERTA Y A DISTANCIA 43NAD #&$
Punto 1
No.
$)*+, )N$R) LL)-''/ (*inutos
a"ores ordenados
Calculos previos
1
7.144513317
2.028199915 N°datos
60.0
2
10.51335012
2.222135437 Limite inferior
2.0
3
2.827771005
2.513396813 Limite superior
12
4
2.018914849
5
5.104647226
2.771649859 N°!"ases (inter#a"os (ni
7
6
6.147959066
2.991524452 $ama%o de &"ase o 'mp"itud (i
1
7
3.132208733
3.128563253
8
8.990744667
3.24076934
9
3.570779367
3.338790409
10
9.216852853
3.429013741
11
6.870680312
3.768150237
12
11.74766127
3.895732952
13
8.408279774
3.950701967
14
11.49765202
4.528662999
15
4.127989828
4.638687548
16
11.0817398
4.841961842
17
6.759797407
4.969235446
18
5.59920369
4.971771219
19
9.963914696
5.063931779
20
4.418646386
5.162677432
21
5.010059699
22
8.462636959
5.260867262 6.075260442
23
11.24106344
6.214499826
24
3.601469934
6.471690453
25
5.339028215
6.482332629
26
9.912403061
6.892649595
27
7.809588804
7.285709724
28
4.769313117
7.73933271
29
3.205648715
7.76460463
30
3.630561535
7.791285639
31
9.525745847
7.796926276
32
7.066530826
7.869444597
33
7.340931411
7.953596956
34
8.437366812
8.000328061
35
5.478519078
8.252353038
36
10.93736311
8.346884752
37
11 94250993
8 419195743
2.73197099 Rango (R
10
Punto 3
39
6.631488765
9.093629248
40
5.161323357
9.538243848
41
4.797715201
42
10.5931093
9.546352374 9.68181057
43
5.634710562
9.997502139
44
10.52414281
10.15167158
45
8.279952691
10.27697083
46
2.583186667
10.41237895
47
5.87658074
10.45668652
48
2.663889041
10.50989591
49
7.430734175
10.62242931
50
11.69314803
10.63727859
51
5.802189853
10.67677945
52
6.229608331
10.88268026
53
8.659952777
10.92362052
54
9.49158535
11.33718457
55
3.435387917
11.37755085
56
4.463353471
11.62203576
57
9.970451409
11.64029368
58
7.57653861
11.66465983
59
5.796555139
11.7146671
60
7.0432082
11.84686307
442.3652023
Punto 2
Tabla de Distribucion Exponencial Teorica para epo entre lle!adas
)recuencia *elava Epirica
"# de clases $ni%
0 1
2
3
10
0.17
2
3
5
5
0.08
3
5
6
8
0.13
4
6
8
4
0.07
5
8
9
11
0.18
6
9
10
8
0.13
7
10
12
14
0.23
60
1
Punto 4
Punto 5
Tabla de Distribucion Exp
+edia de la distribucion epirica
,arian-a de la distribucion epirica.
"# de clases $ni% 0
20.2819991495
5.7181101327
1
2
17.1543303982
16.9173628552
2
3
38.6682579547
32.6361050072
3
5
24.9447936361
54.2359384734
4
6
84.0275103109
78.9627017821
5
8
72.3322459073
109.315927586
6
9
146.2187566435
142.162356814
7
10
403.62&'(40003 20.(&4(4(40&6
0.0024&&52(5
)*ECE"C/ *ET/, ,s )*ECE"C/ *ET/, C+D 1.2 1 0.8
re&uen&i a Re"a#a )mpiri&a
0.4 0.2 0 1
2
3
4
5
6
7
8
9
)recuencia relava cuulada epirica
0.17 0.25 0.38 0.45 0.63 0.77 1.00
Punto 6 nencial Teorica para epo entre lle!adas
re&uen&ia )ponen&ia" teori&a
re&uen&ia Re"a#a )ponen&ia" teori&a
)recuencia bservada
"# de clases $ni%
_
0
0
3
0.0024713989 0.0084640483
1
3
10
5
0.0024652835
0.011903801
2
5
5
6
0.0024591833 0.0153316207
3
6
8
8
0.0024530981
0.018747549
4
8
4
9
0.002447028
0.022151627
5
9
11
10
0.0024409729 0.0255438959
6
10
8
12
0.0024349328 0.0289243966
7
12
14 60
e =
2.&1'2'1'2'5
)*ECE"C/ *ET/, ,s )*ECE"C/ *ET/, C+D 0.035 0.03 0.025 0.02
re&uen&ia )ponen&ia" teori&a
0.01 0.005 0 1
2
3
4
5
6
7
8
9
RE5ERENCIAS BIBLIOGRA5ICAS 6i++ie'7 5. 0 Liee',an7 G. #&9. Int')du**ión a +a in;esti
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