A3 Let X be a continuous random variable with pdf f(x)=cr { 0 a) Find c so that f(x) is a valid pdf. b) Find the cdf of X. c) Find P(X < 1/2). d) Find P(X < 2). e) Find P(X> 1/2 | X < 2). Stat 3450 f) Find E(X). g) Find Var(X) if 0 < x < 1 if 1 x3 otherwise Homework 3 - Additional problems