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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] 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 r, s such that Y Tr[5,15,10]. ~

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] 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 r, s such that Y Tr[5,15,10]. ~

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Do all parts of the 2nd question and show your work
Here is a picture of the pdf of a triangular distribution Tr(a, b, c) whose support is (a,) and whose mode is c. 2 b-a a C b
Transcribed Image Text:Here is a picture of the pdf of a triangular distribution Tr(a, b, c) whose support is (a,) and whose mode is c. 2 b-a a C b
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(-1 < X <-). 2 d. Find E[X] e. Find Var[X] 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 r, s such that Y~ Tr[5,15,10].
Transcribed Image Text: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(-1 < X <-). 2 d. Find E[X] e. Find Var[X] 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 r, s such that Y~ Tr[5,15,10].
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