1. Let X be a continuous r.v. with pdf f(x)=xe with support 0 < < and let Y = ex. (a) (5 points) What is the support of Y. (b) (10 points) Determine the pdf g(y) of Y using the cdf method. Do not use the change-of-variable i method given in the text. (c) (5 points) Verify that your g(y) is a pdf.