Choose a number X at random from the set ofnumbers {1, 2,

Chapter 6, Problem 6.38

(choose chapter or problem)

Choose a number X at random from the set ofnumbers {1, 2, 3, 4, 5}. Now choose a number atrandom from the subset no larger than X, that is,from {1, . . . ,X}. Call this second number Y.(a) Find the joint mass function of X and Y.(b) Find the conditional mass function of X giventhat Y = i. Do it for i = 1, 2, 3, 4, 5.(c) Are X and Y independent? Why?

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