Question 7: Suppose X and Y' have joint pmf and marginal distributions given by X 2 3 0.30 0.10 0.25 0.05 0.55 0.15 a) Find E[X]. b) Find Var[X]. c) Find E[Y]. p(x,y) 5 10 Px(x) Y 1 0.20 0.10 0.30 Pr(y) 0.60 0.40
Question 7: Suppose X and Y' have joint pmf and marginal distributions given by X 2 3 0.30 0.10 0.25 0.05 0.55 0.15 a) Find E[X]. b) Find Var[X]. c) Find E[Y]. p(x,y) 5 10 Px(x) Y 1 0.20 0.10 0.30 Pr(y) 0.60 0.40
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.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 48E
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![Question 7: Suppose X and Y have joint pmf and marginal distributions given by
X
1
2
0.20
0.30
0.10
0.25
0.30 0.55
a) Find E[X].
b) Find Var[X].
c) Find E[Y].
d) Find Var[Y].
e) Find E[XY].
Y
f) Find Cov(X, Y).
p(x,y)
5
10
Px(x)
3
0.10
0.05
0.15
py(y)
0.60
0.40
g) Find the Corr(X, Y). What can be said about the relationship between X and Y?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8fde1064-a6b6-4339-9493-cdb828b8cc21%2F66602db9-b435-419a-93ca-f8db0b1b49ac%2Ff1z6d0m_processed.png&w=3840&q=75)
Transcribed Image Text:Question 7: Suppose X and Y have joint pmf and marginal distributions given by
X
1
2
0.20
0.30
0.10
0.25
0.30 0.55
a) Find E[X].
b) Find Var[X].
c) Find E[Y].
d) Find Var[Y].
e) Find E[XY].
Y
f) Find Cov(X, Y).
p(x,y)
5
10
Px(x)
3
0.10
0.05
0.15
py(y)
0.60
0.40
g) Find the Corr(X, Y). What can be said about the relationship between X and Y?
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