Question 1: Two jointly distributed discrete random variables Consider two discrete random variables X, Y ,...

Question 1: Two jointly distributed discrete random variables Consider two discrete random variables X, Y , taking values in {0, 1, 2, 3} each (for a total of 16 possible points). Their joint probability mass function is given by fXY (x, y) = c · x+1 y+1 . Answer the following questions. (a) What is c? (b) What is the probability that X = Y ? (c) Derive the marginal probability mass functions for both X and Y . (d) What is the probability that X ≤ Y given that Y = 2? (e) What is the probability that X ≤ Y ?

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orchestra answered 1 year ago

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