 45.1: Selecting Cards Find the probability of getting 2 face cards (king,...
 45.2: Selecting a Committee A parentteacher committee consisting of 4 pe...
 45.3: Management Seminar In a company there are 7 executives: 4 women and...
 45.4: Senate Partisanship The composition of the Senate of the 107th Cong...
 45.5: Congressional Committee Memberships The composition of the 108th Co...
 45.6: Defective Resistors A package contains 12 resistors, 3 of which are...
 45.7: Winning Tickets If 50 tickets are sold and 2 prizes are to be award...
 45.8: Getting a Full House Find the probability of getting a full house (...
 45.9: Flight School Graduation At a recent graduation at a naval flight s...
 45.10: Selecting Cards The red face cards and the black cards numbered 29 ...
 45.11: Socks in a Drawer A drawer contains 11 identical red socks and 8 id...
 45.12: Selecting Books Find the probability of selecting 3 science books a...
 45.13: Rolling Three Dice When 3 dice are rolled, find the probability of ...
 45.14: Football Team Selection A football team consists of 20 each freshme...
 45.15: Arrangement of Washers Find the probability that if 5 differentsiz...
 45.16: Using the information in Exercise 63 in Section 44, find the probab...
 45.17: Plant Selection All holly plants are dioeciousa male plant must be ...
 45.1: When a standard die is rolled, find the probability of getting a. A...
 45.2: Selecting a Card When a card is selected from a deck, find the prob...
 45.3: Software Selection The top10 selling computer software titles last...
 45.4: A sixsided die is printed with the numbers 1, 2, 3, 5, 8, and 13. ...
 45.5: Cordless Phone Survey A recent survey indicated that in a town of 1...
 45.6: Purchasing Sweaters During a sale at a mens store, 16 white sweater...
 45.7: Budget Rental Cars Cheap Rentals has nothing but budget cars for re...
 45.8: Rolling Two Dice When two dice are rolled, find the probability of ...
 45.9: Car and Boat Ownership The probability that a person owns a car is ...
 45.10: Car Purchases There is a 0.39 probability that John will purchase a...
 45.11: Online Course Selection Roughly 1 in 6 students enrolled in higher ...
 45.12: Borrowing Books Of Americans using library services, 67% borrow boo...
 45.13: Drawing Cards Three cards are drawn from an ordinary deck without r...
 45.14: Coin Toss and Card Drawn A coin is tossed and a card is drawn from ...
 45.15: Movie Releases The top five countries for movie releases so far thi...
 45.16: Factory Output A manufacturing company has three factories: X, Y, a...
 45.17: Effectiveness of Vaccine A vaccine has a 90% probability of being e...
 45.18: Television Models A manufacturer makes three models of a television...
 45.19: Car Purchase The probability that Sue will live on campus and buy a...
 45.20: Applying Shipping Labels Four unmarked packages have lost their shi...
 45.21: Health Club Membership Of the members of the Blue River Health Club...
 45.22: Bad Weather The probability that it snows and the bus arrives late ...
 45.23: Education Level and Smoking At a large factory, the employees were ...
 45.24: War Veterans Approximately 11% of the civilian population are veter...
 45.25: DVD Players Eightyone percent of U.S. households have DVD players....
 45.26: Chronic Sinusitis The U.S. Department of Health and Human Services ...
 45.27: Automobile License Plate An automobile license plate consists of 3 ...
 45.28: Types of Copy Paper White copy paper is offered in 5 different stre...
 45.29: Baseball Players How many ways can 3 outfielders and 4 infielders b...
 45.30: Computer Operators How many different ways can 8 computer operators...
 45.31: Student Representatives How many ways can a student select 2 electi...
 45.32: Committee Representation There are 6 Republican, 5 Democrat, and 4 ...
 45.33: Song Selections A promotional MP3 player is available with the capa...
 45.34: Employee Health Care Plans A new employee has a choice of 5 health ...
 45.35: Course Enrollment There are 12 students who wish to enroll in a par...
 45.36: Candy Selection A candy store allows customers to select 3 differen...
 45.37: Book Selection If a student can select 5 novels from a reading list...
 45.38: Course Selection If a student can select one of 3 language courses,...
 45.39: License Plates License plates are to be issued with 3 letters follo...
 45.40: Leisure Activities A newspaper advertises 5 different movies, 3 pla...
 45.41: Territorial Selection Several territories and colonies today are st...
 45.42: Yahtzee Yahtzee is a game played with 5 dice. Players attempt to sc...
 45.43: Personnel Classification For a survey, a subject can be classified ...
 45.1: Subjective probability has little use in the real world.
 45.2: Classical probability uses a frequency distribution to compute prob...
 45.3: In classical probability, all outcomes in the sample space are equa...
 45.4: When two events are not mutually exclusive, P(A or B) P(A) P(B).
 45.5: If two events are dependent, they must have the same probability of...
 45.6: An event and its complement can occur at the same time.
 45.7: The arrangement ABC is the same as BAC for combinations.
 45.8: When objects are arranged in a specific order, the arrangement is c...
 45.9: The probability that an event happens is 0.42. What is the probabil...
 45.10: When a meteorologist says that there is a 30% chance of showers, wh...
 45.11: The sample space for tossing 3 coins consists of how many outcomes?...
 45.12: The complement of guessing 5 correct answers on a 5question true/f...
 45.13: When two dice are rolled, the sample space consists of how many eve...
 45.14: What is nP0? a. 0 c. n b. 1 d. It cannot be determined.
 45.15: What is the number of permutations of 6 different objects taken all...
 45.16: What is 0!? a. 0 c. Undefined b. 1 d. 10
 45.17: What is nCn? a. 0 c. n b. 1 d. It cannot be determined.
 45.18: The set of all possible outcomes of a probability experiment is cal...
 45.19: The probability of an event can be any number between and including...
 45.20: If an event cannot occur, its probability is .
 45.21: The sum of the probabilities of the events in the sample space is .
 45.22: When two events cannot occur at the same time, they are said to be .
 45.23: When a card is drawn, find the probability of getting a. A jack b. ...
 45.24: Selecting a Card When a card is drawn from a deck, find the probabi...
 45.25: Selecting a Sweater At a mens clothing store, 12 men purchased blue...
 45.26: Rolling Dice When 2 dice are rolled, find the probability of gettin...
 45.27: Appliance Ownership The probability that a person owns a microwave ...
 45.28: Starting Salaries Of the physics graduates of a university, 30% rec...
 45.29: Selecting Cards Five cards are drawn from an ordinary deck without ...
 45.30: Scholarships The probability that Samantha will be accepted by the ...
 45.31: New Car Warranty The probability that a customer will buy a car and...
 45.32: Bowling and Club Membership Of the members of the Spring Lake Bowli...
 45.33: Work and Weather The probability that Mike has to work overtime and...
 45.34: Education of Factory Employees At a large factory, the employees we...
 45.35: Heart Attacks In a certain highrisk group, the chances of a person...
 45.36: Rolling a Die A single die is rolled 4 times. Find the probability ...
 45.37: Eye Color If 85% of all people have brown eyes and 6 people are sel...
 45.38: Singer Selection How many ways can 5 sopranos and 4 altos be select...
 45.39: Speaker Selection How many different ways can 8 speakers be seated ...
 45.40: Stocking Machines A soda machine servicer must restock and collect ...
 45.41: ID Cards One companys ID cards consist of 5 letters followed by 2 d...
 45.42: How many different arrangements of the letters in the word number c...
 45.43: Physics Test A physics test consists of 25 true/false questions. Ho...
 45.44: Cellular Telephones How many different ways can 5 cellular telephon...
 45.45: Fruit Selection On a lunch counter, there are 3 oranges, 5 apples, ...
 45.46: Cruise Ship Activities A cruise director schedules 4 different movi...
 45.47: Committee Selection At a sorority meeting, there are 6 seniors, 4 j...
 45.48: Banquet Meal Choices For a banquet, a committee can select beef, po...
 45.1: Con Man Game Consider this problem: A con man has 3 coins. One coin...
 45.2: de Mr Dice Game Chevalier de Mr won money when he bet unsuspecting ...
 45.3: Classical Birthday many people do you think need to be in a room so...
 45.4: We know that if the probability of an event happening is 100%, then...
 45.1: Business and Finance Select a pizza restaurant and a sandwich shop....
 45.2: Sports and Leisure When poker games are shown on television, there ...
 45.3: Technology A music player or music organization program can keep tr...
 45.4: Health and Wellness Assume that the gender distribution of babies i...
 45.5: Politics and Economics Consider the U.S. Senate. Find out about the...
 45.6: Your Class Research the famous Monty Hall probability problem. Cond...
Solutions for Chapter 45: Probability and Counting Rules
Full solutions for Elementary Statistics: A Step by Step Approach  7th Edition
ISBN: 9780073534978
Solutions for Chapter 45: Probability and Counting Rules
Get Full SolutionsSince 118 problems in chapter 45: Probability and Counting Rules have been answered, more than 32587 students have viewed full stepbystep solutions from this chapter. Elementary Statistics: A Step by Step Approach was written by and is associated to the ISBN: 9780073534978. This textbook survival guide was created for the textbook: Elementary Statistics: A Step by Step Approach, edition: 7. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 45: Probability and Counting Rules includes 118 full stepbystep solutions.

Addition rule
A formula used to determine the probability of the union of two (or more) events from the probabilities of the events and their intersection(s).

Adjusted R 2
A variation of the R 2 statistic that compensates for the number of parameters in a regression model. Essentially, the adjustment is a penalty for increasing the number of parameters in the model. Alias. In a fractional factorial experiment when certain factor effects cannot be estimated uniquely, they are said to be aliased.

Analytic study
A study in which a sample from a population is used to make inference to a future population. Stability needs to be assumed. See Enumerative study

Bias
An effect that systematically distorts a statistical result or estimate, preventing it from representing the true quantity of interest.

Block
In experimental design, a group of experimental units or material that is relatively homogeneous. The purpose of dividing experimental units into blocks is to produce an experimental design wherein variability within blocks is smaller than variability between blocks. This allows the factors of interest to be compared in an environment that has less variability than in an unblocked experiment.

Central limit theorem
The simplest form of the central limit theorem states that the sum of n independently distributed random variables will tend to be normally distributed as n becomes large. It is a necessary and suficient condition that none of the variances of the individual random variables are large in comparison to their sum. There are more general forms of the central theorem that allow ininite variances and correlated random variables, and there is a multivariate version of the theorem.

Conditional probability
The probability of an event given that the random experiment produces an outcome in another event.

Conidence level
Another term for the conidence coeficient.

Covariance matrix
A square matrix that contains the variances and covariances among a set of random variables, say, X1 , X X 2 k , , … . The main diagonal elements of the matrix are the variances of the random variables and the offdiagonal elements are the covariances between Xi and Xj . Also called the variancecovariance matrix. When the random variables are standardized to have unit variances, the covariance matrix becomes the correlation matrix.

Enumerative study
A study in which a sample from a population is used to make inference to the population. See Analytic study

Error of estimation
The difference between an estimated value and the true value.

Estimator (or point estimator)
A procedure for producing an estimate of a parameter of interest. An estimator is usually a function of only sample data values, and when these data values are available, it results in an estimate of the parameter of interest.

Exhaustive
A property of a collection of events that indicates that their union equals the sample space.

False alarm
A signal from a control chart when no assignable causes are present

Finite population correction factor
A term in the formula for the variance of a hypergeometric random variable.

Fisher’s least signiicant difference (LSD) method
A series of pairwise hypothesis tests of treatment means in an experiment to determine which means differ.

Forward selection
A method of variable selection in regression, where variables are inserted one at a time into the model until no other variables that contribute signiicantly to the model can be found.

Frequency distribution
An arrangement of the frequencies of observations in a sample or population according to the values that the observations take on

Generating function
A function that is used to determine properties of the probability distribution of a random variable. See Momentgenerating function

Geometric random variable
A discrete random variable that is the number of Bernoulli trials until a success occurs.