Using the Binomal distribution if N=8 and p= 0.4, find P(x=3)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Using the Binomal distribution 

if N=8 and p= 0.4,

find P(x=3)

Expert Solution
Step 1

Here the random variable X has binomial distribution

 With parameter   n = 8, p = 0.4 & q = 1-p = 1-0.4 = 0.6

 We know, 

 P(X  = x)   =  nCx*P^x*q^(n-x)

                          = n!/[x!(n-x)!]*P^x*q^(n-x) 

 

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