1) Assume the following joint probability distribution: P(x,y) 1 3 5 сл 2 0.1 0 0.1 Y 5 0.3 0.1 0.1 0 8 0.1 0.2 Find the marginal probability distribution, the mean, variance, and standard deviation of y. Find the marginal probability distribution, the mean, variance, and standard deviation of x. Find the conditional distribution of x given y = 5

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
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 14E
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Please do these 3 Qs in excel or show steps, thank you.
1) Assume the following joint probability distribution:
P(x,y)
1
3
5
2
0.1
0
0.1
Y
5
0.3
0.1
0.1 0
8
0.1
0.2
Find the marginal probability distribution, the mean, variance, and standard deviation of y.
Find the marginal probability distribution, the mean, variance, and standard deviation of x.
Find the conditional distribution of x given y = 5
Transcribed Image Text:1) Assume the following joint probability distribution: P(x,y) 1 3 5 2 0.1 0 0.1 Y 5 0.3 0.1 0.1 0 8 0.1 0.2 Find the marginal probability distribution, the mean, variance, and standard deviation of y. Find the marginal probability distribution, the mean, variance, and standard deviation of x. Find the conditional distribution of x given y = 5
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9780321964038
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