Determine the joint probability mass function. are x and y, Ask an Expert

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Let X be the outcome obtained on the toss of a fair single six-sided die and let Y be the number of heads obtained on three flips of a fair coin. Determine the joint probability mass function. Are X and Y independent random variables? Also, find: E(X); E(Y); V(X); and V(Y). If W = 2X + 3Y, find E(W) and V(W).

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