Question 3 3.1 Solve the below problem Let Y,, Y2, and Y, be random variables, where E (Y) = 1, E (Y2) = 2,E(Y3) = -1, V (Y,) = 1,V(Y,) = 3,V(Y;) = 5, Cov (Y1, Y2) =-0.4, Cov(Y,, Y3) = 1/2, and Cov(Y2, Y3) = 2. 3.1.1 Find the expected value and variance of U = 2Y-3Y 2 + 2Y, | 3.1.2 If W = 2Y, + 2Y, find Cov(U, W) and state if U and W are independen %3D the belo ment

MATLAB: An Introduction with Applications
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Question 3
3.1 Solve the below problem
Let Y,, Y,, and Y, be random variables, where
E (Y,) – 1, E (Y,)
V(Y,) = 1,V(Y,) = 3,V(Y,) = 5,
Cov (Y,, Y,) --0.4, Cov(Y,,Y, ) - 1/2, and Cov(Y,, Y,) 2.
2, E (Y,)
= -1,
3.1.1Find the expected value and variance of U= 2Y
3Y,+2Y,
3.1.2IfW.= 2Y, + 2Y,. find Cov(U, W) and state if U and W are independen
(2)
Transcribed Image Text:Question 3 3.1 Solve the below problem Let Y,, Y,, and Y, be random variables, where E (Y,) – 1, E (Y,) V(Y,) = 1,V(Y,) = 3,V(Y,) = 5, Cov (Y,, Y,) --0.4, Cov(Y,,Y, ) - 1/2, and Cov(Y,, Y,) 2. 2, E (Y,) = -1, 3.1.1Find the expected value and variance of U= 2Y 3Y,+2Y, 3.1.2IfW.= 2Y, + 2Y,. find Cov(U, W) and state if U and W are independen (2)
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