Let X and Y be random variables with Var(X)=0.64, Var(Y)=0.81, and Cov(X,Y) = 0.5. Find each of the following to two decimal places (if applicable). (a) Coefficient of correlation p(X,Y) 0.694 (b) Var(3X+Y+1) 9.57 (c) Cov(-2Y, 3X+Y+1) (d) p(-2Y, 3X+Y+1)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Let X and Y be random variables with Var(X)=0.64, Var(Y)=0.81, and Cov(X,Y) = 0.5. Find each of the following to two decimal places (if applicable).
(a) Coefficient of correlation p(X,Y) 0.694
(b) Var(3X+Y+1) 9.57
(c) Cov(-2Y, 3X+Y+1)
(d) p(-2Y, 3X+Y+1)
Transcribed Image Text:Let X and Y be random variables with Var(X)=0.64, Var(Y)=0.81, and Cov(X,Y) = 0.5. Find each of the following to two decimal places (if applicable). (a) Coefficient of correlation p(X,Y) 0.694 (b) Var(3X+Y+1) 9.57 (c) Cov(-2Y, 3X+Y+1) (d) p(-2Y, 3X+Y+1)
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