 42.1: Define mutually exclusive events, and give an example of two events...
 42.2: Determine whether these events are mutually exclusive. a. Roll a di...
 42.3: College Degrees Awarded The table below represents the college degr...
 42.4: Selecting a Fish In a fish tank, there are 24 goldfish, 2 angel fis...
 42.5: Selecting an Instructor At a convention there are 7 mathematics ins...
 42.6: Selecting a Movie Amedia rental store rented the following number o...
 42.7: Hospital Staff On a hospital staff, there are 4 dermatologists, 7 s...
 42.8: Tourist Destinations The probability that a given tourist goes to t...
 42.9: Sports Participation At a particular school with 200 male students,...
 42.10: Selecting a Card A single card is drawn from a deck. Find the proba...
 42.11: Selecting a Student In a statistics class there are 18 juniors and ...
 42.12: Selecting a Book At a usedbook sale, 100 books are adult books and...
 42.13: Young Adult Residences According to the Bureau of the Census, the f...
 42.14: Endangered Species The chart below shows the numbers of endangered ...
 42.15: Multiple Births The number of multiple births in the United States ...
 42.16: Licensed Drivers in the United States In a recent year there were t...
 42.17: Student Survey In a recent survey, the following data were obtained...
 42.18: Mail Delivery A local postal carrier distributes firstclass letters...
 42.19: Medical Tests on Emergency Patients The frequency distribution show...
 42.20: A social organization of 32 members sold college sweatshirts as a f...
 42.21: DoortoDoor Sales A sales representative who visits customers at h...
 42.22: Medical Patients A recent study of 300 patients found that of 100 a...
 42.23: Selecting a Card If one card is drawn from an ordinary deck of card...
 42.24: Rolling Die Two dice are rolled. Find the probability of getting a....
 42.25: Corn Products U.S. growers harvested 11 billion bushels of corn in ...
 42.26: Rolling Dice Three dice are rolled. Find the probability of getting...
 42.27: Purchasing a Pizza The probability that a customer selects a pizza ...
 42.28: Building a New Home In building new homes, a contractor finds that ...
 42.29: In Exercise 28, find the probability that the buyer will not want a...
 42.30: Suppose that P(A) _ 0.42, P(B) _ 0.38, and P(A _ B) _ 0.70. Are A a...
Solutions for Chapter 42: The Addition Rules for Probability
Full solutions for Elementary Statistics: A Step by Step Approach 8th ed.  8th Edition
ISBN: 9780073386102
Solutions for Chapter 42: The Addition Rules for Probability
Get Full SolutionsElementary Statistics: A Step by Step Approach 8th ed. was written by and is associated to the ISBN: 9780073386102. Since 30 problems in chapter 42: The Addition Rules for Probability have been answered, more than 34030 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Elementary Statistics: A Step by Step Approach 8th ed., edition: 8. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 42: The Addition Rules for Probability includes 30 full stepbystep solutions.

Alternative hypothesis
In statistical hypothesis testing, this is a hypothesis other than the one that is being tested. The alternative hypothesis contains feasible conditions, whereas the null hypothesis speciies conditions that are under test

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

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.

Bimodal distribution.
A distribution with two modes

Box plot (or box and whisker plot)
A graphical display of data in which the box contains the middle 50% of the data (the interquartile range) with the median dividing it, and the whiskers extend to the smallest and largest values (or some deined lower and upper limits).

Central composite design (CCD)
A secondorder response surface design in k variables consisting of a twolevel factorial, 2k axial runs, and one or more center points. The twolevel factorial portion of a CCD can be a fractional factorial design when k is large. The CCD is the most widely used design for itting a secondorder model.

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.

Coeficient of determination
See R 2 .

Combination.
A subset selected without replacement from a set used to determine the number of outcomes in events and sample spaces.

Completely randomized design (or experiment)
A type of experimental design in which the treatments or design factors are assigned to the experimental units in a random manner. In designed experiments, a completely randomized design results from running all of the treatment combinations in random order.

Conidence coeficient
The probability 1?a associated with a conidence interval expressing the probability that the stated interval will contain the true parameter value.

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

Cumulative sum control chart (CUSUM)
A control chart in which the point plotted at time t is the sum of the measured deviations from target for all statistics up to time t

Designed experiment
An experiment in which the tests are planned in advance and the plans usually incorporate statistical models. See Experiment

Distribution function
Another name for a cumulative distribution function.

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

Extra sum of squares method
A method used in regression analysis to conduct a hypothesis test for the additional contribution of one or more variables to a model.

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.

Firstorder model
A model that contains only irstorder terms. For example, the irstorder response surface model in two variables is y xx = + ?? ? ? 0 11 2 2 + + . A irstorder model is also called a main effects model

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