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Consider two independent random variables X and Y with the following means and standard deviations: "x "y = 50; ºx = 10 = 60; %Y = 15. (a) Find E(X+Y), Var(X + Y), E(X - Y), Var(X - Y). (b) If X* and Y* are the standardized r.v.'s corresponding to the r.v.'s X and Y, respectively, determine E(X* + Y*), E(X* - Y*), Var(X* + Y*), Var(X* - Y*).

Consider two independent random variables X and Y with the following means and standard deviations: "x "y = 50; ºx = 10 = 60; %Y = 15. (a) Find E(X+Y), Var(X + Y), E(X - Y), Var(X - Y). (b) If X* and Y* are the standardized r.v.'s corresponding to the r.v.'s X and Y, respectively, determine E(X* + Y*), E(X* - Y*), Var(X* + Y*), Var(X* - Y*).

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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Consider two independent random variables X and Y with the following means and standard deviations: "x "y = 50; = 60; σ₂ ºy = 10 = 15. (a) Find E(X+Y), Var(X + Y), E(X - Y), Var(X - Y). (b) If X* and Y* are the standardized r.v.'s corresponding to the r.v.'s X and Y, respectively, determine E(X* + Y*), E(X* - Y*), Var(X* + Y*), Var(X* - Y*).
Transcribed Image Text:Consider two independent random variables X and Y with the following means and standard deviations: "x "y = 50; = 60; σ₂ ºy = 10 = 15. (a) Find E(X+Y), Var(X + Y), E(X - Y), Var(X - Y). (b) If X* and Y* are the standardized r.v.'s corresponding to the r.v.'s X and Y, respectively, determine E(X* + Y*), E(X* - Y*), Var(X* + Y*), Var(X* - Y*).
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