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The mean and variance of a random variab...

The mean and variance of a random variable X having a binomia distribution are 4 and 2 respectively.Then, P(X=6), is equal to

A

`(1)/(256)`

B

`(3)/(256)`

C

`(9)/(256)`

D

`(7)/(256)`

Text Solution

Verified by Experts

The correct Answer is:
C
Given , `np=4 , npq=2 implies p=q=1/2`
`therefore n=4xx2=8`
Now, `P(Xgt 6)=""^(8)C_(7)(1/2)^(7)(1/2)+""^(8)C_(8)((1)/(2))^(8)`
`=(8)/(256)+(1)/(256)=(9)/(256)`
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