8. Two independent random variables X1=(-1.0.1) and X2-(0.1) can take the following probability values: P(X1=-1)=p, P(X1=0)=p/2, P(X_1=1) 1-3p/2, P(X_2=0)=p. P(X 2=1)=1-D. If Y-X1 X2, determine the average E(Y).

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Chapter1: Combinatorial Analysis
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8. Two independent random variables X1=(-1.0.1) and X2-(0.1) can take the following
probability values:
P(X1=-1)=p,
P(X1=0)=p/2,
P(X 1=1) 1-3p/2,
P(X_2=0)=p,
PIX 2=1)=1-D.
If Y-X1 X2, determine the average E(Y).
E(Y) =?
X₁ = (-1,0, 1) y X₂ = (0, 1)
P(X₁ = -1) = p
P(X₁ = 0) = {
P(X₁ = 1) = 1 -
T
P(X₂ = 0) = p
P(X₂= 1) = 1-p
Y = X₁ + X₂
Transcribed Image Text:8. Two independent random variables X1=(-1.0.1) and X2-(0.1) can take the following probability values: P(X1=-1)=p, P(X1=0)=p/2, P(X 1=1) 1-3p/2, P(X_2=0)=p, PIX 2=1)=1-D. If Y-X1 X2, determine the average E(Y). E(Y) =? X₁ = (-1,0, 1) y X₂ = (0, 1) P(X₁ = -1) = p P(X₁ = 0) = { P(X₁ = 1) = 1 - T P(X₂ = 0) = p P(X₂= 1) = 1-p Y = X₁ + X₂
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