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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
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
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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
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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+ 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
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
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