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please show all steps 6. Let Xp,ke (1...), be independent Exp(#) random variables. Let Y = X?+ ...+ X2. . Compute the mean and variance

please show all steps

6. Let Xp,ke (1...), be independent Exp(#) random variables. Let Y = X?+ ...+ X2. . Compute the mean and variance of Y. . What is Corr(Y, Xx) (correlation between Y and X,)

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