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If the mean and variance of a random variable X having a binomial distribution are 4 and 2 respectively, find P (X = 1).
Given:
Mean=4
Variance=2
P(x=1)=?
P(x=r)= nCr pr qn-r
P(x=1)= nC1 pqn-1
= np
qn-1
np(1-p)=2
4(1-p)=2
=q
np=4
n=8
P(x=1)