Find the marginal densities of x and y

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Question: 1. Suppose that X and Yare continuous random variables with the joint probability density function

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(a) Find k, E(X), E(Y), V(X), V(Y), and cov(X, Y). Are X and Y independent?

(b) Find the marginal densities of X and y.

(c) Find the conditional density of X given Y = ½ and hence E(X|Y = ½) and V( Y|X = ½).

2. Given that y = ex is normal with mean 2 and variance 4, find the mean and variance of x.

Reference no: EM131529911

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