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The random variables X and Y have joint probability distribution specified by the following table: y=1 y=2 y=3 x=1 0.30 0.05 0.00 x=2 0.05 0.20 0.05 x=3 0.00 0.05 0.30 Please provide all answers to the following to three decimal places. (a) Find the expectation of XY. (b) Find the covariance Cov(X, Y) between X and Y. (c) What is the correlation between X and Y?

The random variables X and Y have joint probability distribution specified by the following table: y=1 y=2 y=3 x=1 0.30 0.05 0.00 x=2 0.05 0.20 0.05 x=3 0.00 0.05 0.30 Please provide all answers to the following to three decimal places. (a) Find the expectation of XY. (b) Find the covariance Cov(X, Y) between X and Y. (c) What is the correlation between X and Y?

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 1E: If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the...
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The random variables X and Y have joint probability distribution specified by the following table: y=1 y=2 y=3 x=10.30 0.05 0.00 x=2 0.05 0.20 0.05 x=3 0.00 0.05 0.30 Please provide all answers to the following to three decimal places. (a) Find the expectation of XY. (b) Find the covariance Cov(X,Y) between X and Y. (c) What is the correlation between X and Y? (d) Suppose the random variables X and Y above are connected to random variables U and V by the relations X = 2U + 2 Y = 3V + 8 What is the covariance Cov(U,V)? (e) What is the correlation between U and V?
Transcribed Image Text:The random variables X and Y have joint probability distribution specified by the following table: y=1 y=2 y=3 x=10.30 0.05 0.00 x=2 0.05 0.20 0.05 x=3 0.00 0.05 0.30 Please provide all answers to the following to three decimal places. (a) Find the expectation of XY. (b) Find the covariance Cov(X,Y) between X and Y. (c) What is the correlation between X and Y? (d) Suppose the random variables X and Y above are connected to random variables U and V by the relations X = 2U + 2 Y = 3V + 8 What is the covariance Cov(U,V)? (e) What is the correlation between U and V?
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