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36-625 - Homework 1 36-325/725 due Friday Aug 31(1 Chapter...

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Unformatted text preview: Homework 1 36-325/725 due Friday Aug 31 (1) Chapter 1.4 Problem # 7. (Note that when you do this question, you are proving the assertion in the lecture notes about how to interpret "limsup " and "liminf ". (2) Chapter 1.4 Problem # 4 (4) Let Hint: Define (Hint, use (2) and (4) (6) Download R. Download the R tutorial from my web site. Follow the tutorial. Do not hand this question in. 0 9 21( & 21( & 0 D 20 D & A 9 9 B C @ 0 4 $ 2 6 4 0 ( & $ %# ( 8 753 21)'%# PF 4 D 20 (D 'H# I$ 1 G (5) Suppose that F 4 D E# $ (3) Let on . . Prove that there does not exist a uniform distribution be events. Show that . Then show that the are disjoint and that . for each . Prove that ! " ...
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