contoh soal Discrete
probability
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1. Solve for the probabilities of the following binomial distribution
problems by using the binomial formula.
a. If n = 11 and p = 0,23,
what is the probability that x = 4? q =
0,77
0,148
b. If n = 6 and p = 0,50,
what is the probability that x 1, q =
0,5
6 . 
0,09374
c. If n = 9 and p = 0,85,
what is the probability that x 7? q =
0,15
6 . 
0,259667
d. If n = 14 and p = 0,70,what is the probability
that x … 3?
P(X £ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
P(X £ 3) =
(1,59) + (4,84)
+ 6,77 + 0,000
P(X £ 3)= 13,2
2. Use Table A.2, Appendix A,
to find the values of the following binomial distribution problems.
a. P(x = 12 ; n = 20 and p = 0,60)
tabel A ® prob.1,000
b. P(x <
4 ; n = 10 and p = 0,30)
P(x <
4 )® n = 10 p = 0,30
Tabel A
x
|
prob
|
3
|
0.6496
|
2
|
0.3828
|
1
|
0.1493
|
0
|
0.0282
|
jml
|
1.2099
|
c. P(x ≥ 10 ; n = 12 and p = 0,80)
P(x ≥ 10) n = 12 p = 0,80
Tabel A
x
|
prob
|
10
|
0.283468
|
11
|
0.206158
|
12
|
0.068719
|
jml
|
0.558345
|
d. P(x > 15 ; n = 18 and p = 0,40)
P(x > 15) ® n = 18 p = 0,40
Tabel A
x
|
prob
|
16
|
2.37E-05
|
17
|
1.86E-06
|
18
|
6.87E-10
|
jml
|
2.5561E-05
|
Selesai
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