Stat333_Assign1.09s

Stat333_Assign1.09s - Stat 333 Spring 2009 Assignment #1...

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Stat 333 Spring 2009 Assignment #1 The assignment is due Tuesday, May 26 in class. It will be posted in segments, and I will let you know when all segments have been posted and the assignment is complete. All problems are to be turned in. Only a random subset of Type I problems will be marked. All Type II problems will be marked. posted Friday, May 15: Type I Problems: 1. exponential problem of the week: #1, page 346 of the text, 9th ed. 2. #42, page 20 of the text, 9th ed. 3. Suppose we have a sequence of independent S or F trials where the probability of S on the n th trial, n = 1 , 2 , 3 , .. . , is p n . Let Y = number of trials required to obtain the Frst S . (i) If p n = 4 - n , determine whether or not Y is proper. Justify your conclusion. (ii) If p n = 1 - e - 1 n , determine whether or not Y is proper. Justify your conclusion. 4. Let X 1 , X 2 , X 3 , X 4 be independent identically-distributed (i.i.d.) continuous random vari- ables. Use a simple symmetry argument to Fnd P ( X 1 < X 2 < X 4 < X 3 ). 5. #43 on page 91 of the text, 9th ed.
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This note was uploaded on 01/16/2011 for the course STAT 333 taught by Professor Chisholm during the Spring '08 term at Waterloo.

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Stat333_Assign1.09s - Stat 333 Spring 2009 Assignment #1...

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