Suppose that X and Y are two independent random variableswith moment-generating functions Mx(1)=e-3+3 el -2+2e respectively. Let Z=X+Y. Find P(Z>1). O 0.8009 0.8753 O 0.9084 O 0.9596 and M₁ (t)=e-²

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Suppose that X and Y are two independent random variableswith moment-generating functions
-2+2e respectively. Let Z=X+Y. Find P(Z>1).
M₂(t)=e-3+3 e' and M, (t) =e-2+
O 0.8009
0.8753
O 0.9084
O 0.9596
Transcribed Image Text:Suppose that X and Y are two independent random variableswith moment-generating functions -2+2e respectively. Let Z=X+Y. Find P(Z>1). M₂(t)=e-3+3 e' and M, (t) =e-2+ O 0.8009 0.8753 O 0.9084 O 0.9596
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