Let X1, .., Xn all be independent exponential distributions all with the same parameter 2. What is the distribution of the minimum of (X1, .., Xn)? In other words: a) what is the distribution of the smallest order statistic Y,? b) Specify both the pdf of the distribution and describe the distribution and its parameter

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 4ECP
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Let X1,., Xn all be independent exponential distributions all with the same parameter 2.
What is the distribution of the minimum of (X1,.
a) what is the distribution of the smallest order statistic Y, ?
b) Specify both the pdf of the distribution and describe the distribution and its parameters.
,Xn)? In other words:
Transcribed Image Text:Let X1,., Xn all be independent exponential distributions all with the same parameter 2. What is the distribution of the minimum of (X1,. a) what is the distribution of the smallest order statistic Y, ? b) Specify both the pdf of the distribution and describe the distribution and its parameters. ,Xn)? In other words:
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