Find the density and median

Reference no: EM13133531

Suppose X and Y are independent random variables with X following a uniform distribution on (0,1) and Y exponentially distributed with parameter Lambda = 1.

a) Find the density for Z = X + Y. Verify that it integrates to 1. Find the median (the value of z for which P(Z =< z) = 1/2)

b) find E(X - Y) and var(X - Y). Find E(ZX)

Reference no: EM13133531

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