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A jar contains 20 red balls, 12 white balls, and 8 blue balls. Suppose 6 balls are randomly selected with replacement. Let Y 1 be

A jar contains 20 red balls, 12 white balls, and 8 blue balls. Suppose 6 balls are randomly selected with replacement. Let Y1 be the number of red balls selected, Y2 the number of white balls selected, and Y3 the number of blue balls selected. Find (a)p(3, 2, 1), (b) E(Y2), (c) V (Y1), (d) E(Y3 | Y1 = 2, Y2 = 1), (e) Cov(Y1, Y2).

Ans. (a) 0.135 (b) 1.8 (c) 1.5 (d) 0.6 (e) 0.9

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