Let X and Y be independent random variables with gamma distributions,T(3,2) and (4,2), respectively. The moment generating function of X andrespectively.Y area)b)c)d)341(1) and (). 92t- 2t2Calculate E(3X + 2Y+1).Calculate Var (3X + 2Y +1).Obtain the distribution of W = X+Y.E(+).Compute E

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A First Course in Probability (10th Edition)

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Author:Sheldon Ross

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Chapter1: Combinatorial Analysis

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Let X and Y be independent random variables with gamma distributions, T(3,2) and (4,2), respectively. The moment generating function of X_and Y are a) b) 3 (1) and (1) < respectively, , 2t - Calculate E(3X + 2Y+1). Calculate Var (3X +2Y+1). Obtain the distribution of W=X+Y.