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Let W; be the weight of the ith airline passenger's luggage. Assume the weights (W₁, W2, ..., W100} are independent, each with pdf f(x)=3x²/80³, for 0

Let W; be the weight of the ith airline passenger's luggage. Assume the weights (W₁, W2, ..., W100} are independent, each with pdf f(x)=3x²/80³, for 0

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.5: Properties Of Logarithms
Problem 3E
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Let W; be the weight of the ith airline passenger's luggage. Assume the weights {W₁, W2, ..., W₁00} are independent, each with pdf f(x)=3x²/80³, for 0<x<80 and zero otherwise. Find the limiting distribution of Y₁-(Wn:n/80)" as n goes to infinity. We denote this limiting distribution as G(y). Then evaluate G(y) at y=0.5. Enter your answer to three decimal places.
Transcribed Image Text:Let W; be the weight of the ith airline passenger's luggage. Assume the weights {W₁, W2, ..., W₁00} are independent, each with pdf f(x)=3x²/80³, for 0<x<80 and zero otherwise. Find the limiting distribution of Y₁-(Wn:n/80)" as n goes to infinity. We denote this limiting distribution as G(y). Then evaluate G(y) at y=0.5. Enter your answer to three decimal places.
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