(15 points) Suppose X is a continuously distributed random variable with probability density function (pdf): -1

(15 points) Suppose X is a continuously distributed random variable with probability density function (pdf): (a) (b) (c) 1 2 fx(x) = Determine E(X). Determine the cumulative distribution function Fx(x) = x) of X. Determine the pdf fy(y) of Y = X 2. Specify its support.