Introduction to Statistics and Data Analysis

5th Edition

ISBN: 9781305115347

Author: Roxy Peck; Chris Olsen; Jay L. Devore

Publisher: Brooks Cole

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Textbook Question

Chapter 6.5, Problem 57E

The National Public Radio show Car Talk used to have a feature called “The Puzzler.” Listeners were asked to send in answers to some puzzling questions—usually about cars but sometimes about probability (which, of course, must account for the incredible popularity of the program!).

Suppose that for a car question, 800 answers were submitted, of which 50 are correct.

a. Suppose that the hosts randomly select two answers from those submitted with replacement. Calculate the probability that both selected answers are correct. (For purposes of this problem, keep at least five digits to the right of the decimal.)
b. Suppose now that the hosts select the answers at random but without replacement. Use conditional probability to evaluate the probability that both answers selected are correct. How does this probability compare to the one computed in Part (a)?

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Chapter 6 Solutions

Introduction to Statistics and Data Analysis

Ch. 6.1 - Define the term chance experiment, and give an...Ch. 6.1 - Define the term sample space, and then give the...Ch. 6.1 - Consider the chance experiment in which the type...Ch. 6.1 - A tennis shop sells five different brands of...Ch. 6.1 - A new model of laptop computer can be ordered with...Ch. 6.1 - A college library has four copies of a certain...Ch. 6.1 - A library has five copies of a certain textbook on...Ch. 6.1 - Suppose that, starting at a certain time,...Ch. 6.1 - Refer to the previous exercise and now suppose...Ch. 6.1 - Prob. 10E

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. 21E Ch. 6.3 - Prob. 22E Ch. 6.3 - Prob. 23E Ch. 6.3 - Prob. 24E Ch. 6.3 - A deck of 52 playing cards is mixed well, and 5...Ch. 6.3 - Prob. 26E Ch. 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. 29E Ch. 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. 41E Ch. 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. 46E Ch. 6.5 - Prob. 47E Ch. 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. 50E Ch. 6.5 - Prob. 51E Ch. 6.5 - Prob. 52E Ch. 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. 55E Ch. 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. 60E Ch. 6.6 - Prob. 61E Ch. 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. 69E Ch. 6.6 - Prob. 70E Ch. 6.6 - Prob. 71E Ch. 6.6 - Prob. 72E Ch. 6.6 - Prob. 73E Ch. 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. 76E Ch. 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. 88CR Ch. 6 - Prob. 89CR Ch. 6 - Prob. 90CR Ch. 6 - Prob. 91CR Ch. 6 - A company sends 40% of its overnight mail parcels...Ch. 6 - Prob. 93CR Ch. 6 - Prob. 94CR Ch. 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. 100CR Ch. 6 - Suppose that a box contains 25 light bulbs, of...Ch. 6 - Prob. 102CR Ch. 6 - A transmitter is sending a message using a binary...

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Solution Summary: The author calculates the probability that both selected answers are correct using conditional probability and compares it with part (a).

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Chapter 6 Solutions