Consider the following function: f(x)=4x^3 for x between 0 and 1. (Assume the function is 0 elsewhere.) (a) Is this a valid probability density function (b) What is the probability 0.25 < X < 0.5? (c) What is the probability X < 0.5 ? (d) What is the probability X = 0.5 ? (e) What is the expected value of X? Solution a) yes c) (0.5)^3 e) 1 i know only these 3 parts.