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If X follows the binomial distribution with parameters n=6 and p and 9p(X=4)=P(X=2), then p is

A

`1//4`

B

`1//3`

C

`1//2`

D

`2//3`

Text Solution

Verified by Experts

The correct Answer is:
A
Given, `9P(X=4)=P(X=2)`
`therefore9*""^(6)C_(4)p^(4)(1-p)^(2)=""^(6)C_(2)p^(2)(1-p)^(4)`
`implies((1-p)^(2))/(p^(2))=9`
`implies(1-q)/(p)=3`
`impliesp=1//4`
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