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Unformatted text preview: E ( X (1) ). b. Find the expected value of the second order statistic, i.e., ﬁnd E ( X (2) ). 4 5. Let X 1 ,X 2 be independent, identically distributed, each with density f X ( x ) = 6( xx 2 ) for 0 < x < 1, and f X ( x ) = 0 otherwise. a. Find the density of the ﬁrst order statistic, X (1) . b. Find the expected value of the ﬁrst order statistic, i.e., ﬁnd E ( X (1) ). 5 6. Design your own problem and solution. Create your own problem about order statistics. Design your problem in such a way that you would ﬁnd it enjoyable and also interesting (i.e., not completely trivial) if you found this problem in a probability book. Please provide the answer for your problem too. 6...
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 Fall '08
 Staff
 Probability, Probability theory, Alice, order statistic, ﬁrst order statistic

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