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If X is a binomial variate with the rang...

If X is a binomial variate with the range `{0, 1, 2, 3, 4, 5, 6}` and `P(X= 2) = 4P(X = 4)` , then the parameter p of X is

A

`(1)/(3)`

B

`(1)/(2)`

C

`(2)/(3)`

D

`(3)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
Here, n=6
According to the question,
`""^(6)C_(2)p^(2)q^(4)=4^(6)C_(4)p^(4)q^(2)`
`rArr q^(2)=4p^(2) rArr (1-p)^(2)=4p^(2)`
`rArr 3p^(2)+2p-1=0`
`rArr (p+1)(3p-1)=0`
`rArr p=(1)/(3)` ( `:.` P cannot be negative)
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