The random variable $X$ follows binomial distribution $B(n, p)$ for which the difference of the mean and the variance is $1$. If $2 P(X=2)=3 P(X=1)$, then $n^2 P(X1)$ is equal to [JEE Main 2023, 13 Apr (Shift 2)]

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The random variable $X$ follows binomial distribution $B(n, p)$ for which the difference of the mean and the variance is $1$. If $2 P(X=2)=3 P(X=1)$, then $n^2 P(X>1)$ is equal to [JEE Main 2023, 13 Apr (Shift 2)]

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The random variable \(X\) follows binomial distribution \(B(n, p)\) for which the difference of the mean and the varianc…

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