Let \( X \) have a binomial distribution \( B(n, P) \) such that the sum and the product of the ...

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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 \( P(Xn-3)=\frac{k}{2^{n}} \), then \( k \) is equal to
(a) 528
(b) 529
(c) 629
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