The mean and variance of binomial distribution are 4 exactly six success in this distribution is

Options

A. `""^(16)C_(6)((1)/(4))^(6)((3)/(4))^(10)`
B. `""^(16)C_(6)((1)/(4))^(16)((3)/(4))^(20)`
C. `""^(16)C_(6)((1)/(4))^(8)((3)/(4))^(12)`
D. `""^(16)C_(6)((1)/(4))^(16)((3)/(4))^(20)`

Answer

A

Explanation

(a) Given, `np=4, npq=3 rArr p=(1)/(4), q=(3)/(4)` and n=16
`:. " "P(X=6)=""^(16)C_(6)((1)/(4))^(6).((3)/(4))^(10)`