Question: Suppose X is a continuous random variable with c.d.f F satisfying F(x) = (1 + x) 2/4 if 1 < x < 1, = 0

Suppose X is a continuous random variable with c.d.f F satisfying F(x) = (1 + x) 2/4 if 1 < x < 1, = 0 if x 1, and = 1 if x 1. Calculate (i) the c.d.f and (ii) the density of Y = (1 + X) 2 .

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