1. (2pt) Given the pmf of a bivariate discrete (X, Y): f(x, y) = cxy, x, y = 1, 2, 3. 0, otherwise. (1) Find Pr(4 < X +
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1. (2pt) Given the pmf of a bivariate discrete (X, Y): f(x, y) = cxy, x, y = 1, 2, 3. 0, otherwise. (1) Find Pr(4 < X +
1. (2pt) Given the pmf of a bivariate discrete (X, Y): f(x, y) = cxy, x, y = 1, 2, 3. 0, otherwise. (1) Find Pr(4 < X + Y). 2. (2pt) Given the pdf of a bivariate continuous (X, Y): f(x, y) = cxy, 1≤ x, y ≤ 3. 0, (2) otherwise. Find Pr(4< X+Y). 3. (1pt) Let X₁, ..., Xn be independent random variables where each X; has exponential distribution with rate X. Find the distribution (either cdf or pdf) of Xmin = min(X₁,..., Xn). Useful link:
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