Two dice are tossed let x be the smaller number of points, Ask an Expert

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Two dice are tossed. Let X be the smaller number of points. Let Y be the larger number of points. If both dice show the same number, say, z points, then X = Y = z.

(a) Find the joint probability mass function of (X, Y).

(b) Are X and Y independent? Explain.

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Statistics and Probability, Statistics

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