- 10 Points Suppose The Pdf For A Continuous Random Variable X Is Given By 1 4 Otherwise F X A Find E X 1 (151.97 KiB) Viewed 8 times
(10 points) Suppose the pdf for a continuous random variable X is given by ³, 1≤ ≤ 4, otherwise, f(x) = (a) Find E(X). (
-
- Site Admin
- Posts: 899603
- Joined: Mon Aug 02, 2021 8:13 am
(10 points) Suppose the pdf for a continuous random variable X is given by ³, 1≤ ≤ 4, otherwise, f(x) = (a) Find E(X). (
(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.