Understandable Statistics: Concepts and Methods
12th Edition
ISBN: 9781337119917
Author: Charles Henry Brase, Corrinne Pellillo Brase
Publisher: Cengage Learning
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Chapter 5.2, Problem 16P
In each of the following problems, the binomial distribution will be used. Answers may vary slightly depending on whether the binomial distribution formula, the binomial distribution table, or distribution results from a calculator or computer are used. Please answer the following questions and then complete the problem.
What makes up a trial? What is a success? What is a failure?
What are the values of n, p, and q?
16. Binomial Probabilities: Multiple-Choice Quiz Richard has just been given a 10-question multiple-choice quiz in his history class. Each question has five answers, of which only one is correct. Since Richard has not attended class recently, he doesn’t know any of the answers. Assuming that Richard guesses on all 10 questions, find the indicated probabilities.
- (a) What is the
probability that he will answer all questions correctly? - (b) What is the probability that he will answer all questions incorrectly?
- (c) What is the probability that he will answer at least one of the questions correctly? Compute this probability two ways. First, use the rule for mutually exclusive
events and the probabilities shown in Table 3 of Appendix II. Then use the fact that P(r ≥ 1) = 1 – P(r = 0). Compare the two results. Should they be equal? Are they equal? If not, how do you account for the difference? - (d) What is the probability that Richard will answer at least half the questions correctly?
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Chapter 5 Solutions
Understandable Statistics: Concepts and Methods
Ch. 5.1 - Statistical Literacy Which of the following are...Ch. 5.1 - Statistical Literacy Which of the following are...Ch. 5.1 - Statistical Literacy Consider each distribution....Ch. 5.1 - Prob. 4PCh. 5.1 - Prob. 5PCh. 5.1 - Statistical Literacy Consider the probability...Ch. 5.1 - Basic Computation: Expected Value and Standard...Ch. 5.1 - Basic Computation: Expected Value For a...Ch. 5.1 - Critical Thinking: Simulation We can use the...Ch. 5.1 - Marketing: Age What is the age distribution of...
Ch. 5.1 - Marketing: Income What is the income distribution...Ch. 5.1 - History: Florence Nightingale What was the age...Ch. 5.1 - Fishing: Trout The following data are based on...Ch. 5.1 - Criminal Justice: Parole USA Today reported that...Ch. 5.1 - Prob. 15PCh. 5.1 - Prob. 16PCh. 5.1 - Expected Value: Life Insurance Jim is a...Ch. 5.1 - Expected Value: Life Insurance Sara is a...Ch. 5.1 - Prob. 19PCh. 5.1 - Prob. 20PCh. 5.1 - Combination of Random Variables: Insurance Risk...Ch. 5.2 - Statistical Literacy What does the random variable...Ch. 5.2 - Prob. 2PCh. 5.2 - Statistical Literacy For a binomial experiment,...Ch. 5.2 - Prob. 4PCh. 5.2 - Interpretation Suppose you are a hospital manager...Ch. 5.2 - Prob. 6PCh. 5.2 - Prob. 7PCh. 5.2 - Prob. 8PCh. 5.2 - Critical Thinking According to the college...Ch. 5.2 - Prob. 10PCh. 5.2 - In each of the following problems, the binomial...Ch. 5.2 - In each of the following problems, the binomial...Ch. 5.2 - In each of the following problems, the binomial...Ch. 5.2 - In each of the following problems, the binomial...Ch. 5.2 - In each of the following problems, the binomial...Ch. 5.2 - In each of the following problems, the binomial...Ch. 5.2 - Prob. 17PCh. 5.2 - In each of the following problems, the binomial...Ch. 5.2 - In each of the following problems, the binomial...Ch. 5.2 - In each of the following problems, the binomial...Ch. 5.2 - In each of the following problems, the binomial...Ch. 5.2 - Prob. 22PCh. 5.2 - In each of the following problems, the binomial...Ch. 5.2 - In each of the following problems, the binomial...Ch. 5.2 - In each of the following problems, the binomial...Ch. 5.2 - Prob. 26PCh. 5.2 - Binomial Distribution Table: Symmetry Study the...Ch. 5.2 - Prob. 28PCh. 5.2 - Prob. 29PCh. 5.2 - In each of the following problems, the binomial...Ch. 5.2 - Prob. 31PCh. 5.2 - Prob. 32PCh. 5.3 - Statistical Literacy What does the expected value...Ch. 5.3 - Statistical Literacy Consider two binomial...Ch. 5.3 - Basic Computation: Expected Value and Standard...Ch. 5.3 - Basic Computation: Expected Value and Standard...Ch. 5.3 - Critical Thinking Consider a binomial distribution...Ch. 5.3 - Prob. 6PCh. 5.3 - Prob. 7PCh. 5.3 - Prob. 8PCh. 5.3 - Critical Thinking Consider a binomial distribution...Ch. 5.3 - Prob. 10PCh. 5.3 - Sports: Surfing In Hawaii, January is a favorite...Ch. 5.3 - Quality Control: Syringes The quality-control...Ch. 5.3 - Private Investigation: Locating People Old Friends...Ch. 5.3 - Ecology: Hawaiian Tsunamis A tidal wave or tsunami...Ch. 5.3 - Education: Illiteracy USA Today reported that...Ch. 5.3 - Rude Drivers: Tailgating Do you tailgate the car...Ch. 5.3 - Hype: Improved Products The Wall Street Journal...Ch. 5.3 - Prob. 18PCh. 5.3 - Prob. 19PCh. 5.3 - Defense: Radar Stations The probability that a...Ch. 5.3 - Criminal Justice: Jury Duty Have you ever tried to...Ch. 5.3 - Public Safety: 911 Calls The Denver Post reported...Ch. 5.3 - Law Enforcement: Property Crime Does crime pay?...Ch. 5.3 - Prob. 24PCh. 5.3 - Prob. 25PCh. 5.3 - Prob. 26PCh. 5.3 - Prob. 27PCh. 5.3 - Critical Thinking Let r be a binomial random...Ch. 5.4 - Statistical Literacy For a binomial experiment,...Ch. 5.4 - Statistical Literacy When using the Poisson...Ch. 5.4 - Critical Thinking Suppose we have a binomial...Ch. 5.4 - Critical Thinking Suppose we have a binomial...Ch. 5.4 - Prob. 5PCh. 5.4 - Prob. 6PCh. 5.4 - Prob. 7PCh. 5.4 - Prob. 8PCh. 5.4 - College: Core Requirement Susan is taking Western...Ch. 5.4 - Law: Bar Exam Bob is a recent law school graduate...Ch. 5.4 - Sociology: Hawaiians On the leeward side of the...Ch. 5.4 - Prob. 12PCh. 5.4 - Prob. 13PCh. 5.4 - Archaeology: Artifacts At Burnt Mesa Pueblo, in...Ch. 5.4 - Ecology: River Otters In his doctoral thesis, L....Ch. 5.4 - Law Enforcement: Shoplifting The Denver Post...Ch. 5.4 - Prob. 17PCh. 5.4 - Engineering: Cracks Henry Petroski is a professor...Ch. 5.4 - Prob. 19PCh. 5.4 - Earthquakes: San Andreas Fault USA Today reported...Ch. 5.4 - Prob. 21PCh. 5.4 - Prob. 22PCh. 5.4 - Prob. 23PCh. 5.4 - Prob. 24PCh. 5.4 - Prob. 25PCh. 5.4 - Prob. 26PCh. 5.4 - Prob. 27PCh. 5.4 - Prob. 28PCh. 5.4 - Prob. 29PCh. 5.4 - Prob. 30PCh. 5.4 - Prob. 31PCh. 5.4 - Prob. 32PCh. 5.4 - Prob. 33PCh. 5 - Prob. 1CRPCh. 5 - Prob. 2CRPCh. 5 - Prob. 3CRPCh. 5 - Prob. 4CRPCh. 5 - Prob. 5CRPCh. 5 - Prob. 6CRPCh. 5 - Prob. 7CRPCh. 5 - Prob. 8CRPCh. 5 - Prob. 9CRPCh. 5 - Airlines: On-Time Arrivals Consumer Reports rated...Ch. 5 - Prob. 11CRPCh. 5 - Prob. 12CRPCh. 5 - Prob. 13CRPCh. 5 - Prob. 14CRPCh. 5 - Prob. 15CRPCh. 5 - Prob. 16CRPCh. 5 - Prob. 17CRPCh. 5 - Prob. 18CRPCh. 5 - Prob. 19CRPCh. 5 - Prob. 20CRPCh. 5 - Prob. 2DHCh. 5 - Prob. 2LCCh. 5 - Prob. 4LCCh. 5 - Prob. 1UTCh. 5 - Prob. 2UTCh. 5 - Prob. 3UTCh. 5 - Prob. 4UTCh. 5 - Prob. 5UTCh. 5 - Prob. 6UTCh. 5 - Binomial Distributions Although tables of binomial...
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