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and let Consider a random variable X with the following distribution r 13 4 7 8 P(X=x) 0.2 0.25 0.1 0.35 0.1 1, X <3 X27 3, otherwise. Y=2, (a) What are the mean and variance of X? (b) What are the mean and variance of Y? (c) Are X and Y independent? Justify with a formula. (d) Find Cov(X, Y) and the correlation coefficient pxy.

and let Consider a random variable X with the following distribution r 13 4 7 8 P(X=x) 0.2 0.25 0.1 0.35 0.1 1, X <3 X27 3, otherwise. Y=2, (a) What are the mean and variance of X? (b) What are the mean and variance of Y? (c) Are X and Y independent? Justify with a formula. (d) Find Cov(X, Y) and the correlation coefficient pxy.

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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and let Consider a random variable X with the following distribution 1 P(X= x) 0.2 3 0.25 0.1 0.35 1, Y=2, X <3 X27 3, otherwise. (a) What are the mean and variance of X? (b) What are the mean and variance of Y? (c) Are X and Y independent? Justify with a formula. (d) Find Cov(X, Y) and the correlation coefficient pxy. 8 0.1
Transcribed Image Text:and let Consider a random variable X with the following distribution 1 P(X= x) 0.2 3 0.25 0.1 0.35 1, Y=2, X <3 X27 3, otherwise. (a) What are the mean and variance of X? (b) What are the mean and variance of Y? (c) Are X and Y independent? Justify with a formula. (d) Find Cov(X, Y) and the correlation coefficient pxy. 8 0.1
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