Let X be uniformly distributed between 0 and 1, i.e.,

Let X be uniformly distributed between 0 and 1, i.e., ntx)={ Determine the one-to-one transformation g(X) such that Y = g(X) is: L 05x51 0, elsewhere (a) an exponential random variable with mean (expected value) = 100; (b) the standard normal variable, i.e., Y = N{0,1) . (e) a lognorrnal variable with mean (expected value) = 100 and coefficient of variation = 0.30