Question: 1.1. Let M have a binomial distribution with parameters N and p. Conditioned on M, the random variable X has a binomial distribution with parameters

1.1. Let M have a binomial distribution with parameters N and p. Conditioned on M, the random variable X has a binomial distribution with parameters M and ir.

(a) Determine the marginal distribution for X.

(b) Determine the covariance between X and Y = M - X.

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