 15.1: 1. Homes. Real estate ads suggest that 64% of homes forsale have ga...
 15.2: 2. Travel. Suppose the probability that a U.S. resident hastraveled...
 15.3: 3. Amenities. A check of dorm rooms on a large collegecampus reveal...
 15.4: 4. Workers. Employment data at a large company revealthat 72% of th...
 15.5: 5. Global survey. The marketing research organizationGfK Custom Res...
 15.6: 6. Birth order. A survey of students in a large IntroductoryStatist...
 15.7: 7. Cards. You draw a card at random from a standarddeck of 52 cards...
 15.8: 8. Pets. In its monthly report, the local animal shelterstates that...
 15.9: 9. Health. The probabilities that an adult American manhas high blo...
 15.10: 10. Death penalty. The table shows the political affiliationsof Ame...
 15.11: 11. Global survey, take 2. Look again at the table summarizingthe R...
 15.12: 12. Birth order, take 2. Look again at the data about birthorder of...
 15.13: 13. Sick kids. Seventy percent of kids who visit a doctor have a fe...
 15.14: 14. Sick cars. Twenty percent of cars that are inspected have fault...
 15.15: 15. Cards. You are dealt a hand of three cards, one at atime. Find ...
 15.16: 16. Another hand. You pick three cards at random from adeck. Find t...
 15.17: 17. Batteries. A junk box in your room contains a dozenold batterie...
 15.18: 18. Shirts. The soccer teams shirts have arrived in a bigbox, and p...
 15.19: 19. Eligibility. A university requires its biology majors totake a ...
 15.20: 20. Benefits. Fiftysix percent of all American workershave a workp...
 15.21: 21. For sale. In the realestate ads described in Exercise 1,64% of...
 15.22: 22. On the road again. According to Exercise 2, the probabilitythat...
 15.23: 23. Cards. If you draw a card at random from a wellshuffleddeck, is...
 15.24: 24. Pets again. The local animal shelter in Exercise 8 reportedthat...
 15.25: 25. Unsafe food. Early in 2007 Consumer Reports publishedthe result...
 15.26: 26. Birth order, finis. In Exercises 6 and 12 we looked atthe birth...
 15.27: 27. Mens health, again. Given the table of probabilitiesfrom Exerci...
 15.28: 28. Politics. Given the table of probabilities from Exercise 10,are...
 15.29: 29. Phone service. According to estimates from the federalgovernmen...
 15.30: 30. Snoring. After surveying 995 adults, 81.5% of whomwere over 30,...
 15.31: 31. Montana. A 1992 poll conducted by the University ofMontana clas...
 15.32: 32. Cars. A random survey of autos parked in student andstaff lots ...
 15.33: 33. Luggage. Leah is flying from Boston to Denver with aconnection ...
 15.34: 34. Graduation. A private college report contains thesestatistics:7...
 15.35: 35. Late luggage. Remember Leah (Exercise 33)? Supposeyou pick her ...
 15.36: 36. Graduation, part II. What percent of students whograduate from ...
 15.37: 37. Absenteeism. A companys records indicate that onany given day a...
 15.38: 38. Lungs and smoke. Suppose that 23% of adults smokecigarettes. It...
 15.39: 39. Absenteeism, part II. At the company described in Exercise 37, ...
 15.40: 40. Lungs and smoke again. Based on the statistics in Exercise 38, ...
 15.41: 41. Drunks. Police often set up sobriety checkpointsroadblocks wher...
 15.42: 42. Noshows. An airline offers discounted advancepurchasefares to ...
 15.43: 43. Dishwashers. Dan's Diner employs three dishwashers. Al washes 4...
 15.44: 44. Parts. A company manufacturing electronic components for home e...
 15.45: 45. HIV testing. In July 2005 the journal Annals of Internal Medici...
 15.46: 46. Polygraphs. Lie detectors are controversial instruments, barred...
Solutions for Chapter 15: Probability Rules
Full solutions for Stats: Modeling The World  3rd Edition
ISBN: 9780131359581
Solutions for Chapter 15: Probability Rules
Get Full SolutionsThis textbook survival guide was created for the textbook: Stats: Modeling The World , edition: 3. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 15: Probability Rules includes 46 full stepbystep solutions. Since 46 problems in chapter 15: Probability Rules have been answered, more than 43732 students have viewed full stepbystep solutions from this chapter. Stats: Modeling The World was written by and is associated to the ISBN: 9780131359581.

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

Bernoulli trials
Sequences of independent trials with only two outcomes, generally called “success” and “failure,” in which the probability of success remains constant.

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

Bivariate distribution
The joint probability distribution of two random variables.

Center line
A horizontal line on a control chart at the value that estimates the mean of the statistic plotted on the chart. See Control chart.

Comparative experiment
An experiment in which the treatments (experimental conditions) that are to be studied are included in the experiment. The data from the experiment are used to evaluate the treatments.

Confounding
When a factorial experiment is run in blocks and the blocks are too small to contain a complete replicate of the experiment, one can run a fraction of the replicate in each block, but this results in losing information on some effects. These effects are linked with or confounded with the blocks. In general, when two factors are varied such that their individual effects cannot be determined separately, their effects are said to be confounded.

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

Continuous distribution
A probability distribution for a continuous random variable.

Control chart
A graphical display used to monitor a process. It usually consists of a horizontal center line corresponding to the incontrol value of the parameter that is being monitored and lower and upper control limits. The control limits are determined by statistical criteria and are not arbitrary, nor are they related to speciication limits. If sample points fall within the control limits, the process is said to be incontrol, or free from assignable causes. Points beyond the control limits indicate an outofcontrol process; that is, assignable causes are likely present. This signals the need to ind and remove the assignable causes.

Control limits
See Control chart.

Curvilinear regression
An expression sometimes used for nonlinear regression models or polynomial regression models.

Defect concentration diagram
A quality tool that graphically shows the location of defects on a part or in a process.

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.

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

Density function
Another name for a probability density function

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

Discrete uniform random variable
A discrete random variable with a inite range and constant probability mass function.

Dispersion
The amount of variability exhibited by data

Harmonic mean
The harmonic mean of a set of data values is the reciprocal of the arithmetic mean of the reciprocals of the data values; that is, h n x i n i = ? ? ? ? ? = ? ? 1 1 1 1 g .