Let X be a binomial random variable with parameters n and 0₁. Condi- m, let y be a binomial random variable with parameters tional on X -m and 02. = (a) What is the marginal distribution of Y? = (b) Find the functions g(k)= E(Y|X = k) and v(k) = Var(Y|X = k). Use these to find E(Y) and Var(Y). (c) Find Covariance(X, Y) and Correlation (X, Y).

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