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If Y 1 and Y 2 are independent binomial random variables with respective parameters n 1 = 2, p 1 = 0.5 and n 2

If Y1 and Y2 are independent binomial random variables with respective parameters n1 = 2, p1 = 0.5 and n2 = 3, p2 = 0.2, find (a) E(5Y1 3Y2), (b)V (5Y1 3Y2), (c) P(Y1 < Y2).

Ans. (a) 3.2 (b) 16.82 (c) 0.176

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