4. Suppose that X and Y are random variables having the joint probability distribution y 2 1 3 5 0.15 0.25 0.15 Find a) Marginal distribution alone X and alone Y b) E(2X – 3Y); c) E(XY) I 0.10 0.25 0.10

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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4. Suppose that X and Y are random variables having the joint probability distribution
y
1
3
333
5
2
0.15
0.25
0.15
I
4
0.10
0.25
0.10
Find
a) Marginal distribution alone X and alone Y
b) E (2X - 3Y);
c) E(XY)
d) Are X and Y independent random variables? If yes show
Transcribed Image Text:4. Suppose that X and Y are random variables having the joint probability distribution y 1 3 333 5 2 0.15 0.25 0.15 I 4 0.10 0.25 0.10 Find a) Marginal distribution alone X and alone Y b) E (2X - 3Y); c) E(XY) d) Are X and Y independent random variables? If yes show
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