Exercise 1. Let X be a continuous random variable with PDF f (20 ) = 5x4 0

Exercise 1. Let X be a continuous random variable with PDF 5T4 0 < 1 otherwise 0 (a) Verify that f@) is a valid PDF. (b) Find P(0.2 < X < 0.7). Find E(X). (c) Find Var(X) and SD(X). (d)