3.1 Solve the below problem Let Y,, Y2, and Y3 be random variables, where E(Y,) = 1, E (Y,) = 2, E (Y;) = -1, V(Y,) = 1,V(Y2) = 3,V(Y3) = 5, Cov (Y, Y2) = -0.4, Cov(Y,, Y3) = 1/2, and Cov(Y2, Y3) = 2. Find the expected value and variance of U = 2Y, - 2Y 2 + 2Y3. (2.5+2.5)

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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(Y2) = 3, V(Y3) = 5,
Cov (Y1, Y2) = -0.4, Cov(Y1, Y3) = 1/2, and Cov(Y2, Y3) = 2.
Find the expected value and variance of U = 2Y, – 2Y 2 + 2Y3. (2.5+2.5)
3.2 Complete the below statement
A multinomial experiment is a generalization of the
experiment.
Transcribed Image Text: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(Y2) = 3, V(Y3) = 5, Cov (Y1, Y2) = -0.4, Cov(Y1, Y3) = 1/2, and Cov(Y2, Y3) = 2. Find the expected value and variance of U = 2Y, – 2Y 2 + 2Y3. (2.5+2.5) 3.2 Complete the below statement A multinomial experiment is a generalization of the experiment.
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