2 b-a a с b X 1. Let X be a random variable such that X Tr(-1,1,0). ~ a. Find the pdf of X, fx(x). b. Find the cdf of X, Fx (x) c. Find P(-/< X <-). d. Find E[X] e. Find Var[X] 2. With X as above, let Y = rX+s, where r and s are real numbers. (All answers to the following questions will be in terms of r, s). a. Find the cdf of Y, fy(x). b. Find the pdf of Y, Fy(x). c. Find E[Y] d. Find Var[Y]. e. Find the values of rs such that Y TrI5 15 101
2 b-a a с b X 1. Let X be a random variable such that X Tr(-1,1,0). ~ a. Find the pdf of X, fx(x). b. Find the cdf of X, Fx (x) c. Find P(-/< X <-). d. Find E[X] e. Find Var[X] 2. With X as above, let Y = rX+s, where r and s are real numbers. (All answers to the following questions will be in terms of r, s). a. Find the cdf of Y, fy(x). b. Find the pdf of Y, Fy(x). c. Find E[Y] d. Find Var[Y]. e. Find the values of rs such that Y TrI5 15 101
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 14E
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