(ii) If X is uniformly distributed in (0, 1), find g (x), so that the random variable Y = g (X) may have an arbitrary distribution with cdf F,( y). (iii) If X is uniformly distributed in (-1, 1), find...

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Extracted text: (ii) If X is uniformly distributed in (0, 1), find g (x), so that the random variable Y = g (X) may have an arbitrary distribution with cdf F,( y). (iii) If X is uniformly distributed in (-1, 1), find g (x), so that the random variable Y = g (X) may have the density function f, (y) = 2e", y >0. %3| y %3D