Y 1 x 0 2 3 0 0.04 0.09 0.10 0.12 1 0.07 0.11 0.08 0.04 0.15 0.10 0.05 0.05 2 (a) Compute E(X), E(Y), V(X), and V(Y). (b) Compute Cov(X,Y) and Corr(X,Y). (c) Compuet E(XIY=0) and V(X|Y= 0).

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.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 40E
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Suppose the joint PMF of X and Y is
Y
1
x
0
2
3
0
0.04
0.09 0.10
0.12
1
0.07 0.11 0.08 0.04
2 0.15 0.10 0.05 0.05
(a) Compute E(X), E(Y), V(X), and V(Y).
(b) Compute Cov(X,Y) and Corr(X,Y).
(c) Compuet E(X|Y=0) and V(X|Y = 0).
Transcribed Image Text:Suppose the joint PMF of X and Y is Y 1 x 0 2 3 0 0.04 0.09 0.10 0.12 1 0.07 0.11 0.08 0.04 2 0.15 0.10 0.05 0.05 (a) Compute E(X), E(Y), V(X), and V(Y). (b) Compute Cov(X,Y) and Corr(X,Y). (c) Compuet E(X|Y=0) and V(X|Y = 0).
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