spring2008stat201-hw05KEY

spring2008stat201-hw05KEY - 36-201 Spring 2008 Homework 5...

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This document available on: http://www.stat.cmu.edu/~gordonw/spring2008stat201.html 36-201 Spring 2008 Homework 5 – KEY
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Stat 201 Spring 2008 Page 1 of 6 Homework 5 – KEY This document available on: http://www.stat.cmu.edu/~gordonw/spring2008stat201.html Due: Wednesday, February 20 , at the beginning of lecture. Homework considered late beyond the first 10 minutes of lecture. Late Homework Policy: Late homework may be turned-in for a maximum of half credit, up to 4:00 PM on the same Wednesday the homework is due. Late homework should be placed in the manila envelope which will be posted by room 328-C, Facilities Management Building (FMS). Late homework should be labeled with the course as well as your name. Please do not turn in any homework to any mailboxes. Please include the top-page ‘coversheet’, filled-out and stapled to your homework. Show all work. This homework covers chapter 5 in the course textbook. Point Distribution: Exercise 1 Exercise 2 Exercise 3 Exercise 4 Exercise 5 effort & neatness TOTAL 18 10 10 36 6 20 100 NOTE: To save paper, you are encouraged to print double-side (‘duplex’ mode).
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Stat 201 Spring 2008 Page 2 of 6 Homework 5 – KEY This document available on: http://www.stat.cmu.edu/~gordonw/spring2008stat201.html 1. Suppose a particular ‘sample space’ of elements consists of the following words, written just as shown: { A pple, B ox, cerea L , D o G , elephant } Suppose X is the event ‘beginning with a capital letter’; suppose Y is the event ‘ending with a capital letter’. 1 (a) What are the elements of X? Answer: { A pple , B ox , D o G } 1 (b) What are the elements of Y? Answer: { cerea L, D o G } 1 (c) According to the mathematical use of the word ‘and,’ what elements make up ‘X and Y’? Answer: { D o G } 1 (d) According to the mathematical use of the word ‘or,’ what elements make up ‘X or Y’? Answer: { A pple , B ox , C ereal , D o G } 2. Around town are signs that read, “Rollerblading and Skateboarding prohibited.” 2 (a) Interpreting the sign according to the strict mathematical use of ‘and’ as used in probability, am I violating the rules if I’m just rollerblading? Say yes or no ; then briefly explain your answer. Answer: No, I would not be violating the rules if I was only rollerblading. Mathematically, ‘AND’ means both together; so I would only be violating the rules if I was doing both simultaneously. 2 (b)
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This note was uploaded on 02/01/2009 for the course STAT 36-201 taught by Professor Gordon during the Fall '08 term at Carnegie Mellon.

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spring2008stat201-hw05KEY - 36-201 Spring 2008 Homework 5...

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