jee-main 2022 Q79

jee-main · India · session2_26jul_shift1 Binomial Distribution Find Parameters from Moment Conditions

The mean and variance of a binomial distribution are $\alpha$ and $\frac { \alpha } { 3 }$ respectively. If $P ( X = 1 ) = \frac { 4 } { 243 }$, then $P ( X = 4$ or $5 )$ is equal to:
(1) $\frac { 5 } { 9 }$
(2) $\frac { 64 } { 81 }$
(3) $\frac { 16 } { 27 }$
(4) $\frac { 145 } { 243 }$

The mean and variance of a binomial distribution are $\alpha$ and $\frac { \alpha } { 3 }$ respectively. If $P ( X = 1 ) = \frac { 4 } { 243 }$, then $P ( X = 4$ or $5 )$ is equal to:\\
(1) $\frac { 5 } { 9 }$\\
(2) $\frac { 64 } { 81 }$\\
(3) $\frac { 16 } { 27 }$\\
(4) $\frac { 145 } { 243 }$

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