Suppose the length of time X (in hours) it takes for pizza to be delivered by Momma Leona's Pizza has the probability density function f(x) = c x 2 x 3 , 0 < x < 1 0, otherwise a) Find the value of c that makes f(x) a valid probability density function. b) Find = E(X), the average delivery time. c) Find = SD(X) d) Find the probability that it will take less than 45 minutes for a pizza to be delivered. e) Find the probability that it will take more than 30 minutes for a pizza to be delivered