Question: The random variable (RV) X has a probability density function (PDF) fx(x) = A e-x u(x) where A is an appropriate constant and u(x)

The random variable (RV) X has a probability density function (PDF) fx(x) = A e-x u(x) where A is an appropriate constant and u(x) is the unit step function. Suppose X is inputted to an electronic device with the output Y = g(x) = { 2b 2X 0 a) Find the value of A for fx(x). Plot the graph Y against X. b) c) Determine the PDF of Y for 0 < Y b 0 < X

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