Understanding Basic Statistics
8th Edition
ISBN: 9781337558075
Author: Charles Henry Brase, Corrinne Pellillo Brase
Publisher: Cengage Learning
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Textbook Question
Chapter 5.3, Problem 1P
Statistical Literacy What is the main difference between a situation in which the use of the permutations rule is appropriate and one in which the use of the combinations rule is appropriate?
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Chapter 5 Solutions
Understanding Basic Statistics
Ch. 5.1 - Statistical Literacy List three methods of...Ch. 5.1 - Statistical Literacy Suppose a weather app says...Ch. 5.1 - Statistical Literacy What is the probability of...Ch. 5.1 - Statistical Literacy What is the law of large...Ch. 5.1 - Interpretation A Harris Poll indicated that of...Ch. 5.1 - Interpretation According to a recent Harris Poll...Ch. 5.1 - Basic Computation: Probability as Relative...Ch. 5.1 - Basic Computation: Probability of Equally Likely...Ch. 5.1 - Interpretation An investment opportunity boasts...Ch. 5.1 - Interpretation A sample space consists of 4 simple...
Ch. 5.1 - Critical Thinking Consider a family with three...Ch. 5.1 - Critical Thinking Consider the experiment of...Ch. 5.1 - Critical Thinking On a single toss of a fair coin,...Ch. 5.1 - Critical Thinking (a) Explain why -0.41 cannot be...Ch. 5.1 - Myers-Briggs: Personality Types Isabel Briggs...Ch. 5.1 - General: Roll a Die (a) If you roll a single fair...Ch. 5.1 - Psychology: Creativity When do creative people get...Ch. 5.1 - Agriculture: Cotton A botanist has developed a new...Ch. 5.1 - Expand Your Knowledge: Odds in Favor Sometimes...Ch. 5.1 - Expand Your Knowledge: Odds Against Betting odds...Ch. 5.1 - Business: Customers John runs a computer software...Ch. 5.2 - Statistical Literacy If two events are mutually...Ch. 5.2 - Statistical Literacy If two events A and B are...Ch. 5.2 - Basic Computation: Addition Rule Given P(A)=0.3...Ch. 5.2 - Basic Computation: Addition Rule Given P(A)=0.7...Ch. 5.2 - Basic Computation: Multiplication Rule Given...Ch. 5.2 - Basic Computation: Multiplication Rule Given...Ch. 5.2 - Basic Computation: Rules of Probability Given...Ch. 5.2 - Basic Computation: Rules of Probability Given...Ch. 5.2 - Critical Thinking Lisa is making up questions for...Ch. 5.2 - Critical Thinking Greg made up another question...Ch. 5.2 - Critical Thinking Suppose two events A and B are...Ch. 5.2 - Critical Thinking Suppose two events A and B are...Ch. 5.2 - Critical Thinking Consider the following events...Ch. 5.2 - Critical Thinking Consider the following events...Ch. 5.2 - General: Candy Colors MM plain candies come in...Ch. 5.2 - Environmental: Land Formations Arches National...Ch. 5.2 - General: Roll Two Dice You roll two fair dice, a...Ch. 5.2 - General: Roll Two Dice You roll two fair dice, a...Ch. 5.2 - General: Roll Two Dice You roll two fair dice, a...Ch. 5.2 - General: Roll Two Dice You roll two fair dice, a...Ch. 5.2 - General: Deck of Cards You draw two cards from a...Ch. 5.2 - General: Deck of Cards You draw two cards from a...Ch. 5.2 - General: Deck of Cards You draw two cards from a...Ch. 5.2 - General: Deck of Cards You draw two cards from a...Ch. 5.2 - Marketing: ToysUSA Today gave the information...Ch. 5.2 - Health Care: Flu Based on data from the...Ch. 5.2 - Focus Problem: Lie Detector Test In this problem,...Ch. 5.2 - Survey: Medical Tests Diagnostic tests of medical...Ch. 5.2 - Survey: Lung/Hear t In an article titled...Ch. 5.2 - Survey: Customer Loyalty Are customers more loyal...Ch. 5.2 - Survey: Sales Approach In a sales effectiveness...Ch. 5.3 - Statistical Literacy What is the main difference...Ch. 5.3 - Statistical Literacy Consider a series of events....Ch. 5.3 - Critical Thinking For each of the following...Ch. 5.3 - Critical Thinking You need to know the number of...Ch. 5.3 - TreeDiagram (a) Draw a tree diagram to display all...Ch. 5.3 - TreeDiagram (a) Draw a tree diagram to display all...Ch. 5.3 - Tree Diagram There are six balls in an urn. They...Ch. 5.3 - Prob. 8PCh. 5.3 - Multiplication Rule for Counting Four wires (red,...Ch. 5.3 - Multiplication Rule for Counting A sales...Ch. 5.3 - Counting: Agriculture Barbara is a research...Ch. 5.3 - Counting: Outcomes You toss a pair of dice. (a)...Ch. 5.3 - Compute P5,2.Ch. 5.3 - Compute P8,3.Ch. 5.3 - Compute P7,7.Ch. 5.3 - Compute P9,9.Ch. 5.3 - Compute C5,2.Ch. 5.3 - Compute C8,3.Ch. 5.3 - Compute C7,7.Ch. 5.3 - Compute C8,8.Ch. 5.3 - Counting: Hiring There are three nursing positions...Ch. 5.3 - Counting: Lottery In the Cash Now lottery game...Ch. 5.3 - Counting: Sports The University of Montana ski...Ch. 5.3 - Counting: Sales During the Computer Daze special...Ch. 5.3 - Counting: Hiring There are 15 qualified applicants...Ch. 5.3 - Counting: Grading One professor grades homework by...Ch. 5.3 - Counting: Hiring The qualified applicant pool for...Ch. 5.3 - Counting: Powerball The Viewpoint of this section,...Ch. 5 - Terminology Consider the following terms: sample...Ch. 5 - Terminology Consider the following situations:...Ch. 5 - Terminology Can two events that mutually exclusive...Ch. 5 - Terminology Consider two counting rules:...Ch. 5 - StatisticalLiteracy Consider the following two...Ch. 5 - Statistical Literacy If two events A and B are...Ch. 5 - Statistical Literacy If two events A and B are...Ch. 5 - Interpretation You are considering two facial...Ch. 5 - Interpretation You are applying for two jobs, and...Ch. 5 - Critical Thinking You are given the information...Ch. 5 - Critical Thinking You are given the information...Ch. 5 - Critical Thinking For a class activity, your group...Ch. 5 - Salary Raise: Women Does it pay to ask for a...Ch. 5 - Salary Raise: Men According to the same survey...Ch. 5 - General: Thumbtack Drop a thumbtack and observe...Ch. 5 - Survey: Reaction to Poison Ivy Allergic reactions...Ch. 5 - General: Two Dice In a game of craps, you roll two...Ch. 5 - Academic: Passing French Class records at Rockwood...Ch. 5 - Combination: City Council There is money to send...Ch. 5 - Basic Computation Compute....Ch. 5 - Counting: Exam Answers There are five...Ch. 5 - Scheduling: College Courses A student must satisfy...Ch. 5 - General: Combination Lock To open a combination...Ch. 5 - General: Combination Lock You have a combination...
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- What is an experiment? Give two examples.arrow_forwardWhat is the difference between events and outcomes? Give an example of both using the sample space of tossing a coin 50 times.arrow_forwardDividing a Jackpot A game between two pIayers consists of tossing coin. Player A gets a point if the coin shows heads, and player B gets a point if it shows tails. The first player to get six points wins an $8000 jackpot. As it happens, the police raid the place when player A has five points and B has three points. After everyone has calmed down, how should the jackpot be divided between the two players? In other words, what is the probability of A winning (and that of B winning) if the game were to continue? The French mathematicians Pascal and Fermat corresponded about this problem, and both came to the same correct conclusion (though by very different reasoning's). Their friend Roberval disagreed with both of them. He argued that player A has probability of Winning, because the game can end in the four ways H, TH, TTH, TTT, and in three of these, A wins. Roberval’s reasoning was wrong. Continue the game from the point at which it was interrupted, using either a coin or a modeling program. Perform this experiment 80 or more times, and estimate the probability that player A wins. Calculate the probability that player A wins. Compare with your estimate from part (a).arrow_forward
- Conditional probability If 40 of the population have completed college, and 85 of college graduates are registered to vote, what percent of the population are both college graduates and registered voters?arrow_forwardAnswer the following questions. 3. When given two separate events, how do we know whether to apply the Addition Principle or the Multiplication Principle when calculating possible outcomes? What conjunctions may help to determine which operations to use?arrow_forwardWhat is a sample space?arrow_forward
- An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten times. (a) What is the probability of getting exactly 6 heads? (b) What is the probability of getting fewer than 3 heads?arrow_forwardIf a binomial experiment has probability p success, then the probability of failure is ____________________. The probability of getting exactly r successes in n trials of this experiment is C(_________, _________)p (1p)arrow_forwardPopulation Genetics In the study of population genetics, an important measure of inbreeding is the proportion of homozygous genotypesthat is, instances in which the two alleles carried at a particular site on an individuals chromosomes are both the same. For population in which blood-related individual mate, them is a higher than expected frequency of homozygous individuals. Examples of such populations include endangered or rare species, selectively bred breeds, and isolated populations. in general. the frequency of homozygous children from mating of blood-related parents is greater than that for children from unrelated parents Measured over a large number of generations, the proportion of heterozygous genotypesthat is, nonhomozygous genotypeschanges by a constant factor 1 from generation to generation. The factor 1 is a number between 0 and 1. If 1=0.75, for example then the proportion of heterozygous individuals in the population decreases by 25 in each generation In this case, after 10 generations, the proportion of heterozygous individuals in the population decreases by 94.37, since 0.7510=0.0563, or 5.63. In other words, 94.37 of the population is homozygous. For specific types of matings, the proportion of heterozygous genotypes can be related to that of previous generations and is found from an equation. For mating between siblings 1 can be determined as the largest value of for which 2=12+14. This equation comes from carefully accounting for the genotypes for the present generation the 2 term in terms of those previous two generations represented by for the parents generation and by the constant term of the grandparents generation. a Find both solutions to the quadratic equation above and identify which is 1 use a horizontal span of 1 to 1 in this exercise and the following exercise. b After 5 generations, what proportion of the population will be homozygous? c After 20 generations, what proportion of the population will be homozygous?arrow_forward
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