Show transcribed image text 1 Let X, Y be independent random variables taking values in N with 1 P(X = i) P(Y = i) = (i = 12 ). Find the following probabilities: a) P(min(X,y) si) b) P(X= Y) c) P(Y> X) d) P(X divides Y) e) P(X kY) for a given positive integer k

1 Let X, Y be independent random variables taking values in N with 1 P(X = i) P(Y = i) = (i = 12 ). Find the following probabilities: a) P(min(X,y) si) b) P(X= Y) c) P(Y> X) d) P(X divides Y) e) P(X kY) for a given positive integer k