 41.1: What is a probability experiment? A probability experiment is a cha...
 41.2: Define sample space. The set of all possible outcomes of a probabil...
 41.3: What is the difference between an outcome and an event? An outcome ...
 41.4: What are equally likely events? Equally likely events have the same...
 41.5: What is the range of the values of the probability of an event? The...
 41.6: When an event is certain to occur, what is its probability? 1
 41.7: If an event cannot happen, what value is assigned to its probabilit...
 41.8: What is the sum of the probabilities of all the outcomes in a sampl...
 41.9: If the probability that it will rain tomorrow is 0.20, what is the ...
 41.10: A probability experiment is conducted. Which of these cannot be con...
 41.11: Classify each statement as an example of classical probability, emp...
 41.12: (ans) Rolling a Die If a die is rolled one time, find these probabi...
 41.13: Rolling Two Dice If two dice are rolled one time, find the probabil...
 41.14: (ans) Drawing a Card If one card is drawn from a deck, find the pro...
 41.15: Shopping Mall Promotion A shopping mall has set up a promotion as f...
 41.16: Selecting a State Choose one of the 50 states at random. a. What is...
 41.17: Human Blood Types Human blood is grouped into four types. The perce...
 41.18: Gender of College Students In 2004, 57.2% of all enrolled college s...
 41.19: Prime Numbers A prime number is a number that is evenly divisible o...
 41.20: Rural Speed Limits Rural speed limits for all 50 states are indicat...
 41.21: Gender of Children A couple has three children. Find each probabili...
 41.22: Craps Game In the game of craps using two dice, a person wins on th...
 41.23: Craps Game In a game of craps, a player loses on the roll if a 2, 3...
 41.24: Computers in Elementary Schools Elementary and secondary schools we...
 41.25: College Debt The following information shows the amount of debt stu...
 41.26: Gasoline Mileage for Autos and Trucks Of the top 10 cars and trucks...
 41.27: Large Monetary Bills in Circulation There are 1,765,000 five thousa...
 41.28: Sources of Energy Uses in the United States A breakdown of the sour...
 41.29: Rolling Dice Roll two dice and multiply the numbers. a. Write out t...
 41.30: Federal Government Revenue The source of federal government revenue...
 41.31: Selecting a Bill Abox contains a $1 bill, a $5 bill, a $10 bill, an...
 41.32: Tossing Coins Draw a tree diagram and determine the sample space fo...
 41.33: Selecting Numbered Balls Four balls numbered 1 through 4 are placed...
 41.34: Family Dinner Combinations A family special at a neighborhood resta...
 41.35: Required FirstYear College Courses Firstyear students at a partic...
 41.36: Tossing a Coin and Rolling a Die Acoin is tossed; if it falls heads...
 41.37: Distribution of CEO Ages The distribution of ages of CEOs is as fol...
 41.38: Tossing a Coin A person flipped a coin 100 times and obtained 73 he...
 41.39: Medical Treatment A medical doctor stated that with a certain treat...
 41.40: Wheel Spinner The wheel spinner shown here is spun twice. Find the ...
 41.41: Tossing Coins Toss three coins 128 times and record the number of h...
 41.42: Tossing Coins Toss two coins 100 times and record the number of hea...
 41.43: Odds Odds are used in gambling games to make them fair. For example...
Solutions for Chapter 41: Sample Spaces and Probability
Full solutions for Elementary Statistics: A Step by Step Approach 8th ed.  8th Edition
ISBN: 9780073386102
Solutions for Chapter 41: Sample Spaces and Probability
Get Full SolutionsChapter 41: Sample Spaces and Probability includes 43 full stepbystep solutions. Since 43 problems in chapter 41: Sample Spaces and Probability have been answered, more than 27168 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. Elementary Statistics: A Step by Step Approach 8th ed. was written by and is associated to the ISBN: 9780073386102. This textbook survival guide was created for the textbook: Elementary Statistics: A Step by Step Approach 8th ed., edition: 8.

2 k p  factorial experiment
A fractional factorial experiment with k factors tested in a 2 ? p fraction with all factors tested at only two levels (settings) each

`error (or `risk)
In hypothesis testing, an error incurred by rejecting a null hypothesis when it is actually true (also called a type I error).

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.

Average
See Arithmetic mean.

Axioms of probability
A set of rules that probabilities deined on a sample space must follow. See Probability

Binomial random variable
A discrete random variable that equals the number of successes in a ixed number of Bernoulli trials.

C chart
An attribute control chart that plots the total number of defects per unit in a subgroup. Similar to a defectsperunit or U chart.

Causeandeffect diagram
A chart used to organize the various potential causes of a problem. Also called a ishbone diagram.

Consistent estimator
An estimator that converges in probability to the true value of the estimated parameter as the sample size increases.

Deming
W. Edwards Deming (1900–1993) was a leader in the use of statistical quality control.

Design matrix
A matrix that provides the tests that are to be conducted in an experiment.

Estimate (or point estimate)
The numerical value of a point estimator.

Exponential random variable
A series of tests in which changes are made to the system under study

Ftest
Any test of signiicance involving the F distribution. The most common Ftests are (1) testing hypotheses about the variances or standard deviations of two independent normal distributions, (2) testing hypotheses about treatment means or variance components in the analysis of variance, and (3) testing signiicance of regression or tests on subsets of parameters in a regression model.

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

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.

Fractional factorial experiment
A type of factorial experiment in which not all possible treatment combinations are run. This is usually done to reduce the size of an experiment with several factors.

Gaussian distribution
Another name for the normal distribution, based on the strong connection of Karl F. Gauss to the normal distribution; often used in physics and electrical engineering applications

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

Geometric mean.
The geometric mean of a set of n positive data values is the nth root of the product of the data values; that is, g x i n i n = ( ) = / w 1 1 .