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Question: you have two random variables x and y with joint...

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you have two random variables, X and Y with joint distribution given by the following table: Y=0 | .4 .2 4+.26. So, for example, the probability that Y 0, X - 0 is 4, and the probability that Y (a) Find the marginal distributions (pmfs) of X and Y, denoted f(x),f(r). (b) Find the conditional distribution (pmf) of Y give X, denoted f(Y|X). (c) Find the expected values of X and Y, E(X), E(Y). (d) Find the variances of X and Y, Var(X), Var(Y). (e) Find the covariance of X and Y, Cov(X, Y). (f) Find the correlation of X and Y, p(X, Y). (g) Are X and Y independent? Why or why not? 0

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