Question: Let X 1 , . . . , X n be exponentially distributed independent random variables with parameter . (a) Find the pdf of Y

Let X1,...,Xn be exponentially distributed independent random variables with parameter .

(a) Find the pdf of Yn=max{X1,...,Xn}.

(b) Find E[Yn].

(c) Find the median of Yn .

(d) What is the mean for n= 1, n= 2, n= 3? What happens as n? Explain why.

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