Solved: X and Y are independent, normal random variables

Chapter 5, Problem 62E

(choose chapter or problem)

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) $E(2 x+3 Y)$ (b) $V(2 X+3 Y)$

Equation transcription:

$E(X)=0,V(X)=4,E(Y)=10$

$V(Y)=9$

$E(2x+3Y)$

$V(2X+3Y)$

$P(2X+3Y<30)$

$P(2X+3Y<40)$

Text transcription:

E(X)=0, V(X)=4, E(Y)=10

E(2 x+3 Y)

V(2 X+3 Y)

P(2 X+3 Y<30)

P(2 X+3 Y<40)

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