Question: A regular die is tossed twice. Let X be the number of times that 1 came up, and Y be the number of times 2

A regular die is tossed twice. Let X be the number of times that 1 came up, and Y be the number of times 2 came up. Find: (i) The joint distribution of X and Y .

(ii) The correlation coefficient between events {X = 1} and {Y = 2}. [Hint: See formula (4.17) in Definition 4.5.2.]

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