question_answer

The mean and variance of a random variable  X  having a binomial distribution are 4 and 2 respectively, then \[P(X=1)\] is     AIEEE  Solved  Paper-2003

A)                                         \[\frac{1}{32}\]                

B)       \[\frac{1}{16}\]                                

C)       \[\frac{1}{8}\]                                   

D)       \[\frac{1}{4}\]

Correct Answer: A

Solution :

                The mean and variance of a random variable in binomial distribution are np and npq, and        Since,     and                 , but                           We have,