Chapter 11

# Chapter 11 - you end up with a complete set of pictures(in...

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Chapter 11 Random Numbers ActivStats: 11-1 to 11-4 Read: Chapter 11 Pick a number at random 1 2 3 4 Table of random digits - Appendix E: A-97 .

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Random digits are used to: 1. select a sample at random 2. simulate independent repetition of a random experiment. Simulation is used to assess probabilities of some events. Intuitively: probability of an event is the relative frequency of times the event occurs in a large number of independent repetitions of an experiment. Example. Suppose a cereal manufacturer puts pictures of famous athletes on cards in boxes of cereal: 25% of boxes contain a picture of Tiger Woods 30% of boxes contain a picture of Lance Armstrong 45% of boxes contain a picture of Serena Williams Suppose you buy 5 boxes. Use 10 simulation to estimate probability that
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Unformatted text preview: you end up with a complete set of pictures (in practice we use thousands of simulations) Solution: Two digit number will represent a box of cereal. If the number is • from 00 to 24 - then the box contains a picture of Tiger Woods (T) • from 25 to 54 - then the box contains a picture of Lance Armstrong (L) • from 55 to 99 - then the box contains a picture of Serena Williams (S) A sequence of five 2-digit numbers represents 5 randomly purchased boxes. Reading from the beginning of the row 2 we obtain: 7162235940, 8180759225, 1819208710, 8077784395, 6956386280, 0327241230, 8173974797, 7040618564, 6927372532, 7834036699 SSTSL , SSSSL, TTTST, SSSLS, SSLSS, TLLTL, SSSLS, SLSSS, SLLLL, SLTSS . Probability = approx. 0.2...
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## This note was uploaded on 07/25/2008 for the course STT 200 taught by Professor Dikong during the Summer '08 term at Michigan State University.

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Chapter 11 - you end up with a complete set of pictures(in...

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