Question: Exercise: Using the formula for the monotonic case The random variable X is exponential with parameter > = 1. The random variable Y is defined

Exercise: Using the formula for the monotonic case

The random variable X is exponential with parameter > = 1. The random variable Y is defined by Y = g(X) = 1/(1+X). a) The inverse function h, for which h (g (@)) = x, is of the form ay* + c. Find a, b, and c. h = CE b) For y E (0, 1]. the PDF of Y is of the form fy (y) = y"e(b/#)+c. Find a, b, and c. h = CE

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