Understanding Basic Statistics
Understanding Basic Statistics
8th Edition
ISBN: 9781337558075
Author: Charles Henry Brase, Corrinne Pellillo Brase
Publisher: Cengage Learning
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Chapter 5, Problem 1CR

Terminology Consider the following terms: sample space: event A; complement of event A.

Match each terms to the appropriate description.

(i) the event: that event A does not occur

(ii) collection of one or more outcomes of a statistical experiment or observation

(iii) set of all outcomes of a statistical experiment or observation

Expert Solution & Answer
Check Mark
To determine

The correct match for the provided terms sample space, event A, and complement of event A with their appropriate descriptions.

Answer to Problem 1CR

Solution:

The correct match for the term ‘sample space’ is ‘set of all possible outcomes of a statistical experiment or observation’.

The correct match for the term ‘event A’ is ‘collection of one or more outcomes of a statistical experiment or observation’.

The correct match for the term ‘complement of event A’ is ‘the event that event A does not occur’.

Explanation of Solution

Given Information:

The provided descriptions are:

(i) The event that event A does not occur.

(ii) Collection of one or more outcomes of a statistical experiment or observation.

(iii) Set of all possible outcomes of a statistical experiment or observation.

Consider the term ‘sample space’ in which a particular outcome of a statistical experiment is known as a simple event. The set of all possible outcomes (simple events) of a statistical experiment constitutes the sample space of an experiment. It is denoted by ‘S’.

So, the correct match for the ‘set of all possible outcomes of a statistical experiment or observation’ is ‘sample space’.

Consider the term ‘event A’ that can be defined as the subset of a sample space that consists of a collection of one or more outcomes of an experiment. So, the correct match for the ‘collection of one or more outcomes of a statistical experiment or observation’ is ‘event A’.

Consider the term ‘complement of event A’. It can be defined as the event that event A does not occur. It can be denoted by ‘event Ac’. So, the correct match for the ‘complement of event A’ is ‘the event that event A does not occur’.

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Chapter 5 Solutions

Understanding Basic Statistics

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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