 3.4.1: When you calculate the number of permutations of n distinct objects...
 3.4.1E: When you calculate the number of permutations of n distinct objects...
 3.4.2: When you calculate the number of combinations of r objects taken fr...
 3.4.1UAE: Assuming That Probability Has a “Memory” A “Daily Number” lottery h...
 3.4.3: True or False? In Exercises 3 6, determine whether the statement is...
 3.4.2E: When you calculate the number of combinations of r objects taken fr...
 3.4.4: True or False? In Exercises 3 6, determine whether the statement is...
 3.4.2UAE: Adding Probabilities Incorrectly A town has a population of 500 peo...
 3.4.5: True or False? In Exercises 3 6, determine whether the statement is...
 3.4.3E: True or False? In Exercise, determine whether the statement is true...
 3.4.6: True or False? In Exercises 3 6, determine whether the statement is...
 3.4.4E: True or False? In Exercise, determine whether the statement is true...
 3.4.7: In Exercises 714, perform the indicated calculation. . 9P5
 3.4.5E: True or False? In Exercise, determine whether the statement is true...
 3.4.8: In Exercises 714, perform the indicated calculation. 16P2
 3.4.6E: True or False? In Exercise, determine whether the statement is true...
 3.4.9: In Exercises 714, perform the indicated calculation. 8C3
 3.4.7E: In Exercise, perform the indicated calculation.9P5
 3.4.8E: In Exercise, perform the indicated calculation.16P2
 3.4.10: In Exercises 714, perform the indicated calculation.21C8
 3.4.9E: In Exercise, perform the indicated calculation.8C3
 3.4.11: In Exercises 714, perform the indicated calculation. 8C412C6
 3.4.12: In Exercises 714, perform the indicated calculation. . 10C714C7
 3.4.10E: In Exercise, perform the indicated calculation.21C8
 3.4.11E: In Exercise, perform the indicated calculation.
 3.4.13: In Exercises 714, perform the indicated calculation. 6P211P3
 3.4.12E: In Exercise, perform the indicated calculation.
 3.4.14: In Exercises 714, perform the indicated calculation.7P312P4
 3.4.13E: In Exercise, perform the indicated calculation.
 3.4.15: In Exercises 1518, determine whether the situation involves permuta...
 3.4.14E: In Exercise, perform the indicated calculation.
 3.4.16: In Exercises 1518, determine whether the situation involves permuta...
 3.4.15E: In Exercise, determine whether the situation involves permutations,...
 3.4.17: In Exercises 1518, determine whether the situation involves permuta...
 3.4.16E: In Exercise, determine whether the situation involves permutations,...
 3.4.18: In Exercises 1518, determine whether the situation involves permuta...
 3.4.17E: In Exercise, determine whether the situation involves permutations,...
 3.4.19: Video Games You have seven different video games. How many differen...
 3.4.18E: In Exercise, determine whether the situation involves permutations,...
 3.4.20: Skiing Eight people compete in a downhill ski race. Assuming that t...
 3.4.19E: Video Games You have seven different video games. How many differen...
 3.4.21: Security Code In how many ways can the letters A, B, C, D, E, and F...
 3.4.20E: Skiing Eight people compete in a downhill ski race. Assuming that t...
 3.4.22: . Starting Lineup The starting lineup for a softball team consists ...
 3.4.21E: Security Code In how many ways can the letters A, B, C, D, E, and F...
 3.4.23: Footrace There are 50 runners in a race. How many ways can the runn...
 3.4.22E: Starting Lineup The starting lineup for a softball team consists of...
 3.4.24: Singing Competition There are 16 finalists in a singing competition...
 3.4.23E: Footrace There are 50 runners in a race. How many ways can the runn...
 3.4.25: Playlist A DJ is preparing a playlist of 24 songs. How many differe...
 3.4.24E: Singing Competition There are 16 finalists in a singing competition...
 3.4.26: Archaeology Club An archaeology club has 38 members. How many diffe...
 3.4.25E: Playlist A DJ is preparing a playlist of 24 songs. How many differe...
 3.4.27: Bracelets You are putting 4 spacers, 10 gold charms, and 8 silver c...
 3.4.26E: Archaeology Club An archaeology club has 38 members. How many diffe...
 3.4.28: Necklaces You are putting 9 pieces of blue beach glass, 3 pieces of...
 3.4.27E: Bracelets You are putting 4 spacers, 10 gold charms, and 8 silver c...
 3.4.29: Letters In how many distinguishable ways can the letters in the wor...
 3.4.28E: Necklaces You are putting 9 pieces of blue beach glass, 3 pieces of...
 3.4.30: . Computer Science A byte is a sequence of eight bits. A bit can be...
 3.4.29E: Letters In how many distinguishable ways can the letters in the wor...
 3.4.31: Experimental Group In order to conduct an experiment, 4 subjects ar...
 3.4.30E: Computer Science A byte is a sequence of eight bits. A bit can be a...
 3.4.32: Jury Selection From a group of 40 people, a jury of 12 people is se...
 3.4.31E: Experimental Group In order to conduct an experiment, 4 subjects ar...
 3.4.33: Students A class has 30 students. In how many different ways can fi...
 3.4.32E: Jury Selection From a group of 40 people, a jury of 12 people is se...
 3.4.34: Lottery Number Selection A lottery has 52 numbers. In how many diff...
 3.4.33E: Students A class has 30 students. In how many different ways can fi...
 3.4.35: Menu A restaurant offers a dinner special that lets you choose from...
 3.4.34E: Lottery Number Selection A lottery has 52 numbers. In how many diff...
 3.4.36: Menu A restaurant offers a dinner special that lets you choose from...
 3.4.35E: Menu A restaurant offers a dinner special that lets you choose from...
 3.4.37: Water Pollution An environmental agency is analyzing water samples ...
 3.4.36E: Menu A restaurant offers a dinner special that lets you choose from...
 3.4.38: Soil Contamination An environmental agency is analyzing soil sample...
 3.4.37E: Water Pollution An environmental agency is analyzing water samples ...
 3.4.39: . Senate Committee The U.S. Senate Select Committee on Ethics has s...
 3.4.38E: Soil Contamination An environmental agency is analyzing soil sample...
 3.4.40: Senate Subcommittee The U.S. Senate Subcommittee on Fiscal Responsi...
 3.4.39E: Senate Committee The U.S. Senate Select Committee on Ethics has six...
 3.4.41: Horse Race A horse race has 12 entries. Assuming that there are no ...
 3.4.40E: Senate Subcommittee The U.S. Senate Subcommittee on Fiscal Responsi...
 3.4.42: Pizza Toppings A pizza shop offers nine toppings. No topping is use...
 3.4.41E: Horse Race A horse race has 12 entries. Assuming that there are no ...
 3.4.43: Jukebox You look over the songs on a jukebox and determine that you...
 3.4.42E: Pizza Toppings A pizza shop offers nine toppings. No topping is use...
 3.4.44: Officers The offices of president, vice president, secretary, and t...
 3.4.43E: Jukebox You look over the songs on a jukebox and determine that you...
 3.4.45: Financial Shape In Exercises 4548, use the pie chart, which shows h...
 3.4.44E: Officers The offices of president, vice president, secretary, and t...
 3.4.46: Financial Shape In Exercises 4548, use the pie chart, which shows h...
 3.4.45E: Financial Shape In Exercise, use the pie chart, which shows how U.S...
 3.4.47: Financial Shape In Exercises 4548, use the pie chart, which shows h...
 3.4.46E: Financial Shape In Exercise, use the pie chart, which shows how U.S...
 3.4.48: Financial Shape In Exercises 4548, use the pie chart, which shows h...
 3.4.47E: Financial Shape In Exercise, use the pie chart, which shows how U.S...
 3.4.49: Lottery In a state lottery, you must correctly select 5 numbers (in...
 3.4.48E: Financial Shape In Exercise, use the pie chart, which shows how U.S...
 3.4.50: Committee A company that has 200 employees chooses a committee of 1...
 3.4.49E: Lottery In a state lottery, you must correctly select 5 numbers (in...
 3.4.51: Warehouse In Exercises 5154, a warehouse employs 24 workers on firs...
 3.4.50E: Committee A company that has 200 employees chooses a committee of 1...
 3.4.52: Warehouse In Exercises 5154, a warehouse employs 24 workers on firs...
 3.4.51E: Warehouse In Exercise, a warehouse employs 24 workers on first shif...
 3.4.53: Warehouse In Exercises 5154, a warehouse employs 24 workers on firs...
 3.4.52E: Warehouse In Exercise, a warehouse employs 24 workers on first shif...
 3.4.54: Warehouse In Exercises 5154, a warehouse employs 24 workers on firs...
 3.4.53E: Warehouse In Exercise, a warehouse employs 24 workers on first shif...
 3.4.55: Defective Units A shipment of 10 microwave ovens contains 2 defecti...
 3.4.54E: Warehouse In Exercise, a warehouse employs 24 workers on first shif...
 3.4.56: Defective Units A shipment of 20 keyboards contains 3 defective uni...
 3.4.55EC: Defective Units A shipment of 10 microwave ovens contains 2 defecti...
 3.4.57: Employee Selection Four sales representatives for a company are to ...
 3.4.56EC: Defective Units A shipment of 20 keyboards contains 3 defective uni...
 3.4.58: Employee Selection In Exercise 57, what is the probability that the...
 3.4.59: Cards In Exercises 5962, you are dealt a hand of five cards from a ...
 3.4.57EC: Employee Selection Four sales representatives for a company are to ...
 3.4.60: Cards In Exercises 5962, you are dealt a hand of five cards from a ...
 3.4.58EC: Employee Selection In Exercise, what is the probability that the fo...
 3.4.61: Cards In Exercises 5962, you are dealt a hand of five cards from a ...
 3.4.59EC: Cards In Exercise, you are dealt a hand of five cards from a standa...
 3.4.62: Cards In Exercises 5962, you are dealt a hand of five cards from a ...
 3.4.60EC: Cards In Exercise, you are dealt a hand of five cards from a standa...
 3.4.61EC: Cards In Exercise, you are dealt a hand of five cards from a standa...
 3.4.62EC: Cards In Exercise, you are dealt a hand of five cards from a standa...
Solutions for Chapter 3.4: Additional Topics in Probability and Counting
Full solutions for Elementary Statistics: Picturing the World  6th Edition
ISBN: 9780321911216
Solutions for Chapter 3.4: Additional Topics in Probability and Counting
Get Full SolutionsSince 126 problems in chapter 3.4: Additional Topics in Probability and Counting have been answered, more than 98663 students have viewed full stepbystep solutions from this chapter. Elementary Statistics: Picturing the World was written by and is associated to the ISBN: 9780321911216. This textbook survival guide was created for the textbook: Elementary Statistics: Picturing the World , edition: 6. Chapter 3.4: Additional Topics in Probability and Counting includes 126 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions.

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.

Assignable cause
The portion of the variability in a set of observations that can be traced to speciic causes, such as operators, materials, or equipment. Also called a special cause.

Asymptotic relative eficiency (ARE)
Used to compare hypothesis tests. The ARE of one test relative to another is the limiting ratio of the sample sizes necessary to obtain identical error probabilities for the two procedures.

Average
See Arithmetic mean.

Average run length, or ARL
The average number of samples taken in a process monitoring or inspection scheme until the scheme signals that the process is operating at a level different from the level in which it began.

Bayes’ theorem
An equation for a conditional probability such as PA B (  ) in terms of the reverse conditional probability PB A (  ).

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

Bivariate normal distribution
The joint distribution of two normal random variables

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.

Central tendency
The tendency of data to cluster around some value. Central tendency is usually expressed by a measure of location such as the mean, median, or mode.

Coeficient of determination
See R 2 .

Conditional probability distribution
The distribution of a random variable given that the random experiment produces an outcome in an event. The given event might specify values for one or more other random variables

Contingency table.
A tabular arrangement expressing the assignment of members of a data set according to two or more categories or classiication criteria

Continuity correction.
A correction factor used to improve the approximation to binomial probabilities from a normal distribution.

Continuous random variable.
A random variable with an interval (either inite or ininite) of real numbers for its range.

Correlation matrix
A square matrix that contains the correlations among a set of random variables, say, XX X 1 2 k , ,…, . The main diagonal elements of the matrix are unity and the offdiagonal elements rij are the correlations between Xi and Xj .

Critical region
In hypothesis testing, this is the portion of the sample space of a test statistic that will lead to rejection of the null hypothesis.

Degrees of freedom.
The number of independent comparisons that can be made among the elements of a sample. The term is analogous to the number of degrees of freedom for an object in a dynamic system, which is the number of independent coordinates required to determine the motion of the object.

Error variance
The variance of an error term or component in a model.

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