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Use this information for problems 1 - 4: Let f (x, y) = K x2+ for 0 Use this information for problems 1 - 4:

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Use this information for problems 1 - 4: Let f (x, y) = K x2+ for 0

Use this information for problems 1 - 4: Let for 0 S x S 1 and 0 S y 2. 21 xy) 1. 2. 3. 4. Determine the value of the constant K such that f is a joint probability density function. Find the marginal distributions fx(x) and fy(y). Determine E(X) and E(Y) Find cov(X, Y)

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