1.

If X follows the binomial distribution with parameters n=6 and p and 9p(X=4)=P(X=2), then p isA. `1//4`B. `1//3`C. `1//2`D. `2//3`

Answer» Correct Answer - 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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