Suppose X and Y are independent random variables such that E(X)= 0, E(Y) = -1, Var(X) = 1, and Var(Y) = 4. Find the following: a. E(7X +2Y – 3) b. Е(X?) c. Var(2X – 5Y +7)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 21E
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Suppose X and Y are independent random variables such that E(X) = 0,
-1, Var(X)= 1, and Var(Y) = 4.
Find the following:
a. E(7X + 2Y – 3)
b. Е(X?)
с. Var(2X — 5Y + 7)
Transcribed Image Text:Suppose X and Y are independent random variables such that E(X) = 0, -1, Var(X)= 1, and Var(Y) = 4. Find the following: a. E(7X + 2Y – 3) b. Е(X?) с. Var(2X — 5Y + 7)
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