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1. Suppose Y and 12 are y k, 0 1. Find (a) k (b) F(1/2, 1/2), (c) F(1/2,2) and (d) P(Y>). Ans. (a) 30

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1. Suppose Y and 12 are y k, 0 1. Find (a) k (b) F(1/2, 1/2), (c) F(1/2,2) and (d) P(Y>). Ans. (a) 30 (b) 9/16 (c) 13/16 (d) 21/32 2. If Y and Y2 are continuous random variables with joint density function f(y1, y2) = 6(1 y2), 0 y1 y2 1, find (a) fi(yi) and (b) P(Y2 1/2 Y 2.4), and (c) an interval such that at least 75% of the distribution lies. Ans. (a) 50 (b) 1/9 (c) [48.4, 51.6] 25

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