Q2) If X&Y are two random variables with the following probability distribution 2 0.25 0.25 0.25 0.25 fod a) Calculate the covariance between X & Y b) Are X & Y independent, relate your answer to part (a) above e) Find the (1) E(XY=8) (2) E(YIX-2)
Q2) If X&Y are two random variables with the following probability distribution 2 0.25 0.25 0.25 0.25 fod a) Calculate the covariance between X & Y b) Are X & Y independent, relate your answer to part (a) above e) Find the (1) E(XY=8) (2) E(YIX-2)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 35E
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Question
J 7
![Q2) If X&Y are two random variables with the following probability distribution
X
3
2
0
0.25
0.25
Y
1
0.25
0.25
a) Calculate the covariance between X & Y
b) Are X & Y independent, relate your answer to part (a) above
e) Find the (1) E(XY-8)
(2) E(YX=2)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe1b0b8fd-4b1b-4609-a928-6ffba0fc1cd7%2F2efb4b68-11fc-49ad-8fb8-8d9af00415b1%2Fpduu1c5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q2) If X&Y are two random variables with the following probability distribution
X
3
2
0
0.25
0.25
Y
1
0.25
0.25
a) Calculate the covariance between X & Y
b) Are X & Y independent, relate your answer to part (a) above
e) Find the (1) E(XY-8)
(2) E(YX=2)
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