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[50 points] Given X has the following distribution with parameters and . f(x)=(2)(2)1x(2)1ex/,x>0 (a) Find moment generating function for the random variable X. (b) Find mean for the random variable X. (c) Find variance for the random variable X..

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[50 points] Given X has the following distribution with parameters and . f(x)=(2)(2)1x(2)1ex/,x>0 (a) Find moment generating function for the random variable X. (b) Find mean for the random variable X. (c) Find variance for the random variable X.

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  • 1. [50 points] Given X has the following distribution with parameters and . f(x)=(2)(2)1x(2)1ex/,x>0 (a) Find moment generating function for the random variable X. (b) Find mean for the random variable X. (c) Find variance for the random variable X.