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Mathematics · 2022

JEE Main · 27 July 2022, Shift 2 · Q16

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…

Let $\displaystyle X$ have a binomial distribution $\displaystyle B(n, p)$ such that the sum and the product of the mean and variance of X are $\displaystyle 24$ and $\displaystyle 128$ respectively. If $\displaystyle \mathrm{P}(\mathrm{X}>\mathrm{n}-3)=\frac{\mathrm{k}}{2^{\mathrm{n}}}$, then k is equal to :
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