if Y = X₁² + X3, what is the probability that Y is at most 12.833? 2X₁ Find the value of τ such that P(Y>T) = 0.005, for Y =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 35E
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Suppose that X₁, X2, X3 are mutually independent random variables with the respective moment
2
generating functions, Mx, (t) = e²²², Mx₂ (t) = ²t + 3t², and Mx, (t) = (-¹) ².
-2t.
if Y = X₁² + X3, what is the probability that Y is at most 12.833?
2X₁
Find the value of T such that P(Y > T) = 0.005, for Y = -
-
√x3
Transcribed Image Text:Suppose that X₁, X2, X3 are mutually independent random variables with the respective moment 2 generating functions, Mx, (t) = e²²², Mx₂ (t) = ²t + 3t², and Mx, (t) = (-¹) ². -2t. if Y = X₁² + X3, what is the probability that Y is at most 12.833? 2X₁ Find the value of T such that P(Y > T) = 0.005, for Y = - - √x3
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