Suppose X₁, X2, ···, , Xn are independent exponential (A) variables. Show that Xn Y = min{X₁, X2, ..., Xn} is exponential(nλ).
Suppose X₁, X2, ···, , Xn are independent exponential (A) variables. Show that Xn Y = min{X₁, X2, ..., Xn} is exponential(nλ).
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 8RE: Suppose an investment account is opened with aninitial deposit of 10,500 earning 6.25...
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Transcribed Image Text:Suppose X₁, X2,..., Xn are independent exponential (A) variables. Show that
Y = min{X₁, X₂,
‚Xn}
is exponential(nλ).
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