Question * Suppose that X and Y are random variables with E(X) = 2. E(Y) = 5 and E(X²) = 8, E(Y) = 30 and cov(X + 2Y.-3X+4Y)=-12, then cov(2X +3,-3Y+4) is equal to: Hint: cov(ax + by.cx+dY) = acV(X) + bdv(Y) + (bc + ad)cov(X,Y) O-120 -30 -59 -64 O

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 23E
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Question *
Suppose that X and Y are random variables with E(X)=2. E(Y) = 5 and E(X²) = 8,
E(Y) = 30 and cov(X + 2Y.-3X+4Y)=-12, then cov(2X +3,-3Y+4) is equal to:
Hint: cov(ax + by.cx+dY) = acV(X) + bdv(Y) + (bc + ad)cov(X,Y)
O -120
-30
-59
-64
O
Transcribed Image Text:Question * Suppose that X and Y are random variables with E(X)=2. E(Y) = 5 and E(X²) = 8, E(Y) = 30 and cov(X + 2Y.-3X+4Y)=-12, then cov(2X +3,-3Y+4) is equal to: Hint: cov(ax + by.cx+dY) = acV(X) + bdv(Y) + (bc + ad)cov(X,Y) O -120 -30 -59 -64 O
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