A production line operates 2 machines X is the number of goo

A production line operates 2 machines. X is the number of goods that machine 1 produces and X = 0, 1, 2,...Y is the number of goods that machine 2 produces and Y = 0,1,2,...X and Y follow a joint distribution f(x, y) = 0.8^x Times 0.95^y Times 0.01. Verify f(x, y) is a valid probability function. Find the marginal distribution of X and Y. Find the conditional distribution of X, given Y = y. Are X and Y independent?

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