Question

Calculate the following binomial probability by either using one of the binomial probability tables, software, or a calculator using the formula below. Round your answer to 3 decimal places.

P(x | n, p) =

n!

(n − x)! x!

· p^x · q^{n − x}    where    q = 1 − p

P(x > 10, n = 15, p = 0.8)

=

Answer 1

We have given here,

n=15 and p=0.8

P(x>10)

=P(x=11) + P(X=12) +P(x=13) +P(x=14) +P(x=15)

=0.188+0.25+0.231+0.132+0.035

=0.836

x	P(x)
0	0
1	0
2	0
3	0
4	0
5	0
6	0.001
7	0.003
8	0.014
9	0.043
10	0.103
11	0.188
12	0.25
13	0.231
14	0.132
15	0.035

Excel command for exact probability BINOMDIST(x,n,p,FALSE)

For example if x=12

=BINOMDIST(12,15,0.8,FALSE)