jee-main 2022 Q79

jee-main · India · session2_27jul_shift2 Binomial Distribution Find Parameters from Moment Conditions
Let $X$ have a binomial distribution $B ( n , p )$ such that the sum and the product of the mean and variance of $X$ are 24 and 128 respectively. If $P ( X > n - 3 ) = \frac { k } { 2 ^ { n } }$, then $k$ is equal to
(1) 528
(2) 529
(3) 629
(4) 630
Let $X$ have a binomial distribution $B ( n , p )$ such that the sum and the product of the mean and variance of $X$ are 24 and 128 respectively. If $P ( X > n - 3 ) = \frac { k } { 2 ^ { n } }$, then $k$ is equal to\\
(1) 528\\
(2) 529\\
(3) 629\\
(4) 630