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 < 4, n = 8, p = 0.4) =

Answer 1

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

Let me know in the comments if anything is not clear. I will reply ASAP! Please do upvote if satisfied!