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Random variables X and Y have the following joint probabilities: P(X=0, Y=0) = P(X= 0, Y=8) = P(X=D16, Y=0) = P(X=16, Y=16) = 4 a) Make a table of the joint distribution of X and Y and add their marginal distributions to the table. b) Compute Cov(X, Y). Are X and Y positively correlated, negative correlated, or uncorrelated? c) Compute the correlation coefficient between X and Y.

Random variables X and Y have the following joint probabilities: P(X=0, Y=0) = P(X= 0, Y=8) = P(X=D16, Y=0) = P(X=16, Y=16) = 4 a) Make a table of the joint distribution of X and Y and add their marginal distributions to the table. b) Compute Cov(X, Y). Are X and Y positively correlated, negative correlated, or uncorrelated? c) Compute the correlation coefficient between X and Y.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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1. Random variables X and Y have the following joint probabilities: P(X=0, Y=0) = P(X= 0, Y=8) = P(X=16, Y=0) = P(X=16, Y=16) = 4 a) Make a table of the joint distribution of X and Y and add their marginal distributions to the table. b) Compute Cov(X, Y). Are X and Y positively correlated, negative correlated, or uncorrelated? c) Compute the correlation coefficient between X and Y.
Transcribed Image Text:1. Random variables X and Y have the following joint probabilities: P(X=0, Y=0) = P(X= 0, Y=8) = P(X=16, Y=0) = P(X=16, Y=16) = 4 a) Make a table of the joint distribution of X and Y and add their marginal distributions to the table. b) Compute Cov(X, Y). Are X and Y positively correlated, negative correlated, or uncorrelated? c) Compute the correlation coefficient between X and Y.
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