The random variables X and Y are independent to each other. The probability density functions of X, Y are fx(x) = 2x · I(0,1) (x) and fy(x) = 1 · I(0,1) (y). (I(0,1) (x) = 1 if 0 < x < 1 and I(0,1) (x) = 0 otherwise.) Let Z = X - Y. Find fz, the probability density function of Z.

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A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

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