Q15. The random variables X,Y each take only the values 1 or 2. i. When they have a following joint mass function, what is P(X=2 | Y=1) ? |Y=1 |Y=2 |X=1 1/3 1/6 ii. When they have a following joint mass function, what is E(Y)? Y=1 |Y=2 X=1 1/6 1/3 X=2 1/6 1/3 X=2 1/6 1/3

Q15. The random variables X,Y each take only the values 1 or 2. i. When they have a following joint mass function, what is P(X=2 | Y=1) ? |Y=1 |Y=2 |X=1 1/3 1/6 ii. When they have a following joint mass function, what is E(Y)? Y=1 |Y=2 X=1 1/6 1/3 X=2 1/6 1/3 X=2 1/6 1/3

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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Question

Q15. The random variables X,Y each take only the values 1 or 2.
i. When they have a following joint mass function, what is
P(X=2 | Y=1) ?
|Y=1
Y=2
X=1
1/3
1/6
ii. When they have a following joint mass function, what is E(Y)?
|Y=1
Y=2
X=1
1/6
1/3
X=2
1/6
1/3
X=2
1/6
1/3

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Follow-up Questions

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Follow-up Question

+
The random variables X, Yeach take only the values 0 or 1. Their joint mass function is
given in the table below.
Y=0
Y=1
What is
i.
ii.
111.
P(X=0 | Y=1)
Cov(X, Y)
Cor(X, Y)
X=0
5/12
1/6
X=1
1/6
1/4
0

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