Introduction to Statistics and Data Analysis
Introduction to Statistics and Data Analysis
5th Edition
ISBN: 9781305750999
Author: Peck Olson Devore
Publisher: CENGAGE C
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Chapter 6.5, Problem 53E

The following case study was reported in the article “Parking Tickets and Missing Women,” which appeared in an early edition of the book Statistics: A Guide to the Unknown. In a Swedish trial on a charge of overtime parking, a police officer testified that he had noted the position of the two air valves on the tires of a parked car: To the closest hour, one was at the one o’clock position and the other was at the six o’clock position. After the allowable time for parking in that zone had passed, the policeman returned, noted that the valves were in the same position, and ticketed the car. The owner of the car claimed that he had left the parking place in time and had returned later. The valves just happened by chance to be in the same positions.

An “expert” witness computed the probability of this occurring as (1/12)(1/12) = 1/144.

a. What reasoning did the expert use to arrive at the probability of 1/144?

b. Can you spot the error in the reasoning that leads to the stated probability of 1/144?

c. What effect does this error have on the probability of occurrence?

d. Do you think that 1/144 is larger or smaller than the correct probability of occurrence?

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Chapter 6 Solutions

Introduction to Statistics and Data Analysis

Ch. 6.1 - An engineering construction firm is currently...Ch. 6.1 - Consider a Venn diagram picturing two events A and...Ch. 6.3 - A large department store offers online ordering....Ch. 6.3 - The manager of a music store has kept records of...Ch. 6.3 - A bookstore sells two types of books (fiction and...Ch. 6.3 - ▼ Medical insurance status—covered (C) or not...Ch. 6.3 - Roulette is a game of chance that involves...Ch. 6.3 - Phoenix is a hub for a large airline. Suppose that...Ch. 6.3 - A professor assigns five problems to be completed...Ch. 6.3 - Refer to the following information on full-term...Ch. 6.3 - Prob. 21ECh. 6.3 - Prob. 22ECh. 6.3 - Prob. 23ECh. 6.3 - Prob. 24ECh. 6.3 - A deck of 52 playing cards is mixed well, and 5...Ch. 6.3 - Prob. 26ECh. 6.3 - The student council for a school of science and...Ch. 6.3 - A student placement center has requests from five...Ch. 6.3 - Prob. 29ECh. 6.4 - Two different airlines have a flight from Los...Ch. 6.4 - The article Chances Are You Know Someone with a...Ch. 6.4 - The accompanying data are from the article...Ch. 6.4 - The following graphical display is similar to one...Ch. 6.4 - Delayed diagnosis of cancer is a problem because...Ch. 6.4 - The events E and T are defined as E = the event...Ch. 6.4 - The newspaper article Folic Acid Might Reduce Risk...Ch. 6.4 - Suppose that an individual is randomly selected...Ch. 6.4 - Is ultrasound a reliable method for determining...Ch. 6.4 - The table at the top of the next page summarizes...Ch. 6.4 - USA Today (June 6, 2000) gave information on seal...Ch. 6.4 - Prob. 41ECh. 6.4 - The paper Good for Women, Good for Men, Bad for...Ch. 6.5 - Many fire stations handle emergency calls for...Ch. 6.5 - The paper Predictors of Complementary Therapy Use...Ch. 6.5 - The report TV Drama/Comedy Viewers and Health...Ch. 6.5 - Prob. 46ECh. 6.5 - Prob. 47ECh. 6.5 - In a small city, approximately 15% of those...Ch. 6.5 - Jeanie is a bit forgetful, and if she doesnt make...Ch. 6.5 - Prob. 50ECh. 6.5 - Prob. 51ECh. 6.5 - Prob. 52ECh. 6.5 - The following case study was reported in the...Ch. 6.5 - Three friends (A, B, and C) will participate in a...Ch. 6.5 - Prob. 55ECh. 6.5 - A store sells two different brands of dishwasher...Ch. 6.5 - The National Public Radio show Car Talk used to...Ch. 6.5 - Refer to the previous exercise. Suppose now that...Ch. 6.6 - A university has 10 vehicles available for use by...Ch. 6.6 - Prob. 60ECh. 6.6 - Prob. 61ECh. 6.6 - Let F denote the event that a randomly selected...Ch. 6.6 - According to a July 31, 2013 posting on cnn.com, a...Ch. 6.6 - Suppose that Blue Cab operates 15% of the taxis in...Ch. 6.6 - A large cable company reports the following: 80%...Ch. 6.6 - Refer to the information given in the previous...Ch. 6.6 - The authors of the paper Do Physicians Know When...Ch. 6.6 - A study of how people are using online services...Ch. 6.6 - Prob. 69ECh. 6.6 - Prob. 70ECh. 6.6 - Prob. 71ECh. 6.6 - Prob. 72ECh. 6.6 - Prob. 73ECh. 6.6 - The paper referenced in the previous exercise also...Ch. 6.6 - In an article that appears on the web site of the...Ch. 6.6 - Prob. 76ECh. 6.6 - Only 0.1% of the individuals in a certain...Ch. 6.7 - The Los Angeles Times (June 14, 1995) reported...Ch. 6.7 - Five hundred first-year students at a state...Ch. 6.7 - The table given below describes (approximately)...Ch. 6.7 - On April 1, 2010, the Bureau of the Census in the...Ch. 6 - A company uses three different assembly linesA1,...Ch. 6 - Prob. 88CRCh. 6 - Prob. 89CRCh. 6 - Prob. 90CRCh. 6 - Prob. 91CRCh. 6 - A company sends 40% of its overnight mail parcels...Ch. 6 - Prob. 93CRCh. 6 - Prob. 94CRCh. 6 - In a school machine shop, 60% of all machine...Ch. 6 - There are five faculty members in a certain...Ch. 6 - The general addition rule for three events states...Ch. 6 - A theater complex is currently showing four...Ch. 6 - Prob. 100CRCh. 6 - Suppose that a box contains 25 light bulbs, of...Ch. 6 - Prob. 102CRCh. 6 - A transmitter is sending a message using a binary...
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