Problem 2. Let X1. X2,... be independent and identically distributed random variables with density S(2) = 3r10

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Problem 2. Let X1, X2,... be independent and identically distributed random variables with density
S(2) = 3r 10 <r< 1].
(1) Show that
n min(X,...x,) 2,U
holds and find the distribution of U.
(2) Show that
Vn(1 - max(X1.... X,)) v
holds and find the distribution of Y.
Transcribed Image Text:Problem 2. Let X1, X2,... be independent and identically distributed random variables with density S(2) = 3r 10 <r< 1]. (1) Show that n min(X,...x,) 2,U holds and find the distribution of U. (2) Show that Vn(1 - max(X1.... X,)) v holds and find the distribution of Y.
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