Suppose that the random variables X , Y , and Z are independent with E(X) = 2, Var(X) = 4, E(Y) = −3, Var(Y) = 2, E(Z) = 8, and Var(Z) = 7. Calculate the expectation and variance of the following random variables (a) 3X + 7

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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Suppose that the random variables X , Y , and Z are independent with E(X) = 2, Var(X) = 4, E(Y) = −3, Var(Y) = 2, E(Z) = 8, and Var(Z) = 7. Calculate the expectation and variance of the following random variables

(a) 3X + 7

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