Let X1,...,Xn be exponentially distributed independent random variables with parameter λ. (a) Find the pdf of...

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

(a) Find the pdf of Y_n= max{X₁,...,X_n}.

(b) Find E[Y_n].

(c) Find the median of Y_n.

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

Expert Solution

orchestra answered 2 years ago

Let X1, X2,..., Xnbe independent and identically distributed exponential random variables with parameter λ . a)...

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