2. Suppose Yı. Y2. Ys, and Ya are mutually independent and identically distributed exponential random variables with mean 1. a) Find the moment generating function of the sum T= Yi+Yz+Ys+Y£ What is the distribution of T? b) Find the pdf of the maximum order statistic Ya.

College Algebra
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ISBN:9781938168383
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Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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2. Suppose Yı, Y2. Y3, and Ya are mutually independent and identically distributed exponential
random variables with mean 1.
a) Find the moment generating function of the sum T= Yi+Yz+Y3+Y4 What is the distribution
of T?
b) Find the pdf of the maximum order statistic Y(4).
Transcribed Image Text:2. Suppose Yı, Y2. Y3, and Ya are mutually independent and identically distributed exponential random variables with mean 1. a) Find the moment generating function of the sum T= Yi+Yz+Y3+Y4 What is the distribution of T? b) Find the pdf of the maximum order statistic Y(4).
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