Suppose the joint PMF of the random variables X and Y is P(X= x, Y = y) = a(x+y) if(x, y) = {1,2,3} × {2,3,4} 0 Otherwise. 1. Find the value of a. 2. Find the value of the covariance Corr(X, Y). (a, Corr(X, Y)) = 1/45,-2/73

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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How were the correct answers of 1/45 and -2/73 attained?

Suppose the joint PMF of the random variables X and Y is
P(X = x, Y = y) = a(x+y)
0
1. Find the value of a.
2. Find the value of the covariance Corr(X, Y).
(a, Corr(X, Y)) = 1/45,-2/73
if(x, y) = {1,2,3} × {2,3,4},
Otherwise.
Transcribed Image Text:Suppose the joint PMF of the random variables X and Y is P(X = x, Y = y) = a(x+y) 0 1. Find the value of a. 2. Find the value of the covariance Corr(X, Y). (a, Corr(X, Y)) = 1/45,-2/73 if(x, y) = {1,2,3} × {2,3,4}, Otherwise.
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