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! |
· px · qn − x where q = 1 − p
P(x < 4, n = 8, p = 0.4) =
Answer is:
Calculations:
Using the excel the distribution is:
X | P(X=x) |
0 | 0.0167962 |
1 | 0.0895795 |
2 | 0.2090189 |
3 | 0.2786918 |
4 | 0.2322432 |
5 | 0.1238630 |
6 | 0.0412877 |
7 | 0.0078643 |
8 | 0.0006554 |
Use excel formula =BINOM.DIST(3,8,0.4,TRUE)=0.5940864
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