STAT 5102 Midterm: STAT 5102 UMN Spring 10 Test 1
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The exam is closed book and closed notes. 2 11 sheet of paper with formulas, etc. You may also use the handouts on brand name distributions and greek letters. Put all of your work on this test form (use the back if necessary). Show your work or give an explanation of your answer. No credit for numbers with no indication of where they came from. The points for the questions total to 100. There are 5 pages and 5 prob- lems: [20 pts. ] 16 (a) find the mean of the empirical distribution. (b) find a median of the empirical distribution. 1 (c) find a 0. 25 quantile of the empirical distribution: [20 pts. ] 1 x , x > 1 is a distribution function (note: df not pdf) when the parameter is any positive real number. Find the asymptotic distribution of the sample median of an independent and identically distributed (iid) sample having this distribution.
