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Let ?1 <?2 <⋯ <?9 the order statistics of 9 independent variables from an exponential variable...

Let ?1 <?2 <⋯ <?9
the order statistics of 9
independent variables from an exponential variable of mean 2.
(1) Determine the pdf of ?2.
(2) Calculate ? (?9 <1).

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Answer #1

Answer:

Given that:

Let ?1 <?2 <⋯ <?9 the order statistics of 9 independent variables from an exponential variable of mean 2.

(1) Determine the pdf of ?2.

pdf of order statistic is given by

(2) Calculate ? (?9 <1).

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