Suppose that X, Y, and Z are jointly distributed random variables, that is, they are defined on the same sample space. Suppose that we also have the following. E(X)= 5 E(Y)=-2 Var(X) = 44 Var(Y)= 23 Var(Z)= 32 E(Z)=-4 Compute the values of the expressions below. E(-5+5Y) = | 3Y+5X E %3D -3 Var(5X-5) = I E(-2r') = I olo

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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Suppose that X, Y, and Z are jointly distributed random variables, that is, they are defined on the same sample space.
Suppose that we also have the following.
E(X)=5
Var(X) = 44 Var(Y)=23 Var(Z) = 32
E (Y)=-2 E(Z)=-4
%3D
%3D
Compute the values of the expressions below.
E(-5+5Y)= |
3Y+5X
E
-3
Var(5X-5) = I
E-2
Transcribed Image Text:Suppose that X, Y, and Z are jointly distributed random variables, that is, they are defined on the same sample space. Suppose that we also have the following. E(X)=5 Var(X) = 44 Var(Y)=23 Var(Z) = 32 E (Y)=-2 E(Z)=-4 %3D %3D Compute the values of the expressions below. E(-5+5Y)= | 3Y+5X E -3 Var(5X-5) = I E-2
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