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
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.CR: Chapter 13 Review
Problem 42CR
Related questions
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F697083f3-e846-4876-a1e7-af0acc51fdaf%2Ffc801fda-bc3d-47d1-bf0c-e24b434da36b%2Fmbuy5yd_processed.png&w=3840&q=75)
Transcribed Image Text: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](https://content.bartleby.com/qna-images/question/697083f3-e846-4876-a1e7-af0acc51fdaf/3fb076ae-b28f-4e79-a55d-a7f7b9479734/hanuuai_thumbnail.png)
Transcribed Image Text:+
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
Solution
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