Question: A regular die is tossed twice. Find: (i) The joint distribution of variables X = the total of both outcomes and Y = the best

A regular die is tossed twice. Find: (i) The joint distribution of variables X = the total of both outcomes and Y = the best of the two outcomes. (ii) P(X ≤ 8, Y ≤ 5); P(X = 9, Y ≤ 2), P(4 ≤ X ≤ 7, 1 ≤ Y ≤ 3).

(iii) P(Y = 3|X = 4), P(Y < 6|X = 7), P(4 < Y ≤ 6|X ≤ 8).

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