(10 points) Suppose the pdf for a continuous random variable X is given by ³, 1≤ ≤ 4, otherwise, f(x) = (a) Find E(X). (
Posted: Wed Jul 06, 2022 12:20 pm
(10 points) Suppose the pdf for a continuous random variable X is given by ³, 1≤ ≤ 4, otherwise, f(x) = (a) Find E(X). (b) Find the CDF, F(x). Write your answer as a piecewise function. (c) Find P(X<2). (d) Explain how your answer would differ if you were asked to find P(X ≤ 2). (e) Verify that your CDF is continuous at x=1 and x=4.