Question 1
Subject:MathPrice: Bought3
Question 1. (5 points) Let X be a random variable with the following CDF: for r < 0 for 0 < < < 1 Fx (1) = I+2 4 for 1 < < < 2 for x > 2 (a) (2 points) Find the PDF of X, fx(x). Note: as this is a mixed random variable, strictly speaking, this will be the generalized PDF, i.e., it involves delta function(s). (b) (2 points) Find E[X]. (c) (1 points) Find P (X = 1)
