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Two Numbers Are Picked in Succession from 1 to 4

Question 8

Essay

Two numbers are picked in succession from 1 to 4 (inclusive, with replacement). Let X denote the minimum of the numbers and Y the result of the first number minus the second.
(a) Give the joint probability mass function of X and Y.
(b) Give the marginal probability mass function of X, and
(c) find E(Y+2).

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