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Suppose Y has a binomial distribution with parameters n = 10 and P, where P is a chi-square random variable with 3 degrees of freedom.

Suppose Y has a binomial distribution with parameters n = 10 and P, where P is a chi-square random variable with 3 degrees of freedom. Find (a) E[Y ] and (b) V (Y ) Ans. (a) 30 (b) 480

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