Find: a. E(XY) b. Covariance (XY)

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
Section13.3: Special Probability Density Functions
Problem 28E
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Find: a. E(XY) b. Covariance (XY)
Two businessmen examine the joint distribution for X and Y. Find the Expected
value of X, Y, and XY, variances of X, Y, and XY, and standard deviation of X and Y.
f(x,y)
2
3
1
0.10
0.05
0.02
I
2
0.10 0.35
0.05
0.03
0.10 0.20
3
Transcribed Image Text:Two businessmen examine the joint distribution for X and Y. Find the Expected value of X, Y, and XY, variances of X, Y, and XY, and standard deviation of X and Y. f(x,y) 2 3 1 0.10 0.05 0.02 I 2 0.10 0.35 0.05 0.03 0.10 0.20 3
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