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

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

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Problem 4** 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. \( E(X^2) \) c. \( Var(2X - 5Y + 7) \)
Transcribed Image Text:**Problem 4** 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. \( E(X^2) \) c. \( Var(2X - 5Y + 7) \)
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