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1. Suppose that, for some 0 ≤ p ≤ 1, U and V are two random variables with joint PMF if u = 0 and v=0 if u = 0 and v= 1 if u = 1 and v=0 if u = 1 and v = 1. PU, v (u, v) = 221 ² 1-p 2 is is 1-P (a) What is Cov(U, V)? (b) What is Cor(U, V)? (c) For which value of p are U and V uncorrelated?

1. Suppose that, for some 0 ≤ p ≤ 1, U and V are two random variables with joint PMF if u = 0 and v=0 if u = 0 and v= 1 if u = 1 and v=0 if u = 1 and v = 1. PU, v (u, v) = 221 ² 1-p 2 is is 1-P (a) What is Cov(U, V)? (b) What is Cor(U, V)? (c) For which value of p are U and V uncorrelated?

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
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1. Suppose that, for some 0 ≤p ≤ 1, U and V are two random variables with joint PMF if u = 0 and v = 0 if u = 0 and v = 1 if u = 1 and v = 0 if u = 1 and v = 1. PU, v (u, v) = P 2 1-p 2 1-p P What is Cov(U, V)? What is Cor(U, V)? (c) For which value of p are U and V uncorrelated?
Transcribed Image Text:1. Suppose that, for some 0 ≤p ≤ 1, U and V are two random variables with joint PMF if u = 0 and v = 0 if u = 0 and v = 1 if u = 1 and v = 0 if u = 1 and v = 1. PU, v (u, v) = P 2 1-p 2 1-p P What is Cov(U, V)? What is Cor(U, V)? (c) For which value of p are U and V uncorrelated?
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