Question: Suppose X has the probability density function (a) Find the probability density function of Y = X2. (b) Show that the result in part (a)

Suppose X has the probability density functionf(x) = (x+1, -1x0 1-x, 0x1.

(a) Find the probability density function of Y = X2.

(b) Show that the result in part

(a) is a probability density function.

f(x) = (x+1, -1x0 1-x, 0x1.

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