If X and Y are independent, normal random variables with E(X) = 0, V(X) = 4, E(Y)

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If X and Y are independent, normal random variables with E(X) = 0, V(X) = 4, E(Y) = 10, and V(Y) = 9.
Determine the following:
(a) E(2X + 3Y)
(b) V(2X + 3Y)
(c) P(2X + 3Y < 30)
(d) P(2X + 3Y < 40)

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Applied Statistics And Probability For Engineers

ISBN: 9781118539712

6th Edition

Authors: Douglas C. Montgomery, George C. Runger

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Question Posted: Apr 01, 2010 04:57 AM

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If X and Y are independent, normal random variables with E(X) = 0, V(X) = 4, E(Y)

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a E2X 3Y 20 310 30 b V2X 3Y 4VX 9VY 97 ...View the full answer

Applied Statistics And Probability For Engineers

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