Let X and Y be random variables such that var(X) = 16, var (Y) = 9, and p = cor(X, Y) = -0.5. a. Find var(2X – 2Y + 10), b. Find cov(X - Y, X + Y).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 24RE
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Let X and Y be random variables such that var(X) = and p =
16, var (Y) = 9,
cor (X, Y)
= -0.5.
a. Find var(2X – 2Y + 10),
b. Find cov(X – Y, X +Y).
Transcribed Image Text:Let X and Y be random variables such that var(X) = and p = 16, var (Y) = 9, cor (X, Y) = -0.5. a. Find var(2X – 2Y + 10), b. Find cov(X – Y, X +Y).
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