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Let Z be a random variable with E(Z) = 12 and Var(Z) = 5.   Based on the statement above, determine which of the following statements are true and false. Show complete solution.   a) E(3Z + 10) = 46   b) E(Z^2) = 160   c) Var(10)=10

Let Z be a random variable with E(Z) = 12 and Var(Z) = 5.   Based on the statement above, determine which of the following statements are true and false. Show complete solution.   a) E(3Z + 10) = 46   b) E(Z^2) = 160   c) Var(10)=10

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 20E
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Let Z be a random variable with E(Z) = 12 and Var(Z) = 5.
 
Based on the statement above, determine which of the following statements are true and false. Show complete solution.
 
a) E(3Z + 10) = 46
 
b) E(Z^2) = 160
 
c) Var(10)=10
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