Question: answer all questions with explanation 1. (10 points) Choose a number X at random from the set of numbers {1, 2, 3, ..., N -

answer all questions with explanation

1. (10 points) Choose a number X at random from the set of numbers {1, 2, 3, ..., N - 1, N}, and then choose another number Y at random from the subset no larger than X, that is, from {1, 2, 3, . .., X - 1, X ]. (a) Find the joint mass function of X and Y. (b) Are X and Y independent? Why? (c) Determine the expectation E(Y)

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