 Chapter 10.10.1: Texas Holdem. In the popular Texas Holdem variety of poker, players...
 Chapter 10.10.2: Tossing a thumbtack. Toss a thumbtack on a hard surface 100 times. ...
 Chapter 10.10.3: Random digits. The table of random digits (Table B) was produced by...
 Chapter 10.10.4: Probability says.... Probability is a measure of how likely an even...
 Chapter 10.10.5: Sample space. Choose a student at random from a large statistics cl...
 Chapter 10.10.6: Dungeons & Dragons. Roleplaying games such as Dungeons & Dragons u...
 Chapter 10.10.7: Dungeons & Dragons. The intelligence of a character in the game isd...
 Chapter 10.10.8: Preparing for the GMAT. A company that offers courses to prepare st...
 Chapter 10.10.9: Languages in Canada. Canada has two official languages, English and...
 Chapter 10.10.10: Rolling a die. Figure 10.3 displays several discrete probability mo...
 Chapter 10.10.11: Benfords law. The first digit of a randomly chosen expense account ...
 Chapter 10.10.12: Watching TV. Choose a young person (age 19 to 25) at random and ask...
 Chapter 10.10.13: Random numbers. Let X be a random number between 0 and 1 produced b...
 Chapter 10.10.14: Adding random numbers. Generate two random numbers between 0 and 1 ...
 Chapter 10.10.15: Iowa Test scores. The Normal distribution with mean = 6.8 and stand...
 Chapter 10.10.16: Grades in a statistics course. North Carolina State University post...
 Chapter 10.10.17: ACT scores. ACT scores for the 1,171,460 members of the 2004 high s...
 Chapter 10.10.18: Will you have an accident? The probability that a randomly chosen d...
 Chapter 10.10.19: You read in a book on poker that the probability of being dealt thr...
 Chapter 10.10.20: A basketball player shoots 8 free throws during a game. The sample ...
 Chapter 10.10.21: This probability model is(a) continuous. (b) discrete. (c) equally ...
 Chapter 10.10.22: The probability that a randomly chosen American has type AB blood m...
 Chapter 10.10.23: Maria has type B blood. She can safely receive blood transfusions f...
 Chapter 10.10.24: What is the probability that a randomly chosen American does not ha...
 Chapter 10.10.25: In a table of random digits such as Table B, each digit is equally ...
 Chapter 10.10.26: In a table of random digits such as Table B, each digit is equally ...
 Chapter 10.10.27: Choose an American household at random and let the random variable ...
 Chapter 10.10.28: Choose a person at random and give him or her an IQ test. The resul...
 Chapter 10.10.29: Nickels falling over. You may feel that it is obvious that the prob...
 Chapter 10.10.30: Sample space. In each of the following situations, describe a sampl...
 Chapter 10.10.31: Probability models? In each of the following situations, state whet...
 Chapter 10.10.32: Education among young adults. Choose a young adult (age 25 to 34) a...
 Chapter 10.10.33: Deaths on the job. Government data on jobrelated deaths assign a s...
 Chapter 10.10.34: Loaded dice. There are many ways to produce crooked dice. To load a...
 Chapter 10.10.35: What probability doesnt say. The idea of probability is that the pr...
 Chapter 10.10.36: A door prize. A party host gives a door prize to one guest chosen a...
 Chapter 10.10.37: Land in Canada. Canadas national statistics agency, Statistics Cana...
 Chapter 10.10.38: Foreign language study. Choose a student in grades 9 to 12 at rando...
 Chapter 10.10.39: Car colors. Choose a new car or light truck at random and note its ...
 Chapter 10.10.40: Colors of M&Ms. If you draw an M&M candy at random from a bag of th...
 Chapter 10.10.41: More M&Ms. You can create your own custom blend of M&Ms, with21 col...
 Chapter 10.10.42: Race and ethnicity. The 2000 census allowed each person to choose f...
 Chapter 10.10.43: Spelling errors. Spellchecking software catches nonword errors tha...
 Chapter 10.10.44: First digits again. A crook who never heard of Benfords law might c...
 Chapter 10.10.45: Who goes to Paris? Abby, Deborah, MeiLing, Sam, and Roberto work i...
 Chapter 10.10.46: Birth order. A couple plans to have three children. There are 8 pos...
 Chapter 10.10.47: Unusual dice. Nonstandard dice can produce interesting distribution...
 Chapter 10.10.48: Random numbers. Many random number generators allow users to specif...
 Chapter 10.10.49: Did you vote? A sample survey contacted an SRS of 663 registered vo...
 Chapter 10.10.50: More random numbers. Find these probabilities as areas under the de...
 Chapter 10.10.51: NAEP math scores. Scores on the latest National Assessment of Educa...
 Chapter 10.10.52: Playing Pick 4. The Pick 4 games in many state lotteries announce a...
 Chapter 10.10.53: Friends. How many close friends do you have? Suppose that the numbe...
 Chapter 10.10.54: Playing Pick 4, continued. The Wisconsin version of Pick 4 pays out...
 Chapter 10.10.55: Shaqs free throws. The basketball player Shaquille ONeal makes abou...
 Chapter 10.10.56: Simulating an opinion poll. A recent opinion poll showed that about...
Solutions for Chapter Chapter 10: Introducing Probability
Full solutions for The Basic Practice of Statistics  4th Edition
ISBN: 9780716774785
Solutions for Chapter Chapter 10: Introducing Probability
Get Full SolutionsThe Basic Practice of Statistics was written by and is associated to the ISBN: 9780716774785. This expansive textbook survival guide covers the following chapters and their solutions. Since 56 problems in chapter Chapter 10: Introducing Probability have been answered, more than 7733 students have viewed full stepbystep solutions from this chapter. Chapter Chapter 10: Introducing Probability includes 56 full stepbystep solutions. This textbook survival guide was created for the textbook: The Basic Practice of Statistics, edition: 4.

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.

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

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.

Conditional mean
The mean of the conditional probability distribution of a random variable.

Conditional probability density function
The probability density function of the conditional probability distribution of a continuous random variable.

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

Continuous distribution
A probability distribution for a continuous random variable.

Cook’s distance
In regression, Cook’s distance is a measure of the inluence of each individual observation on the estimates of the regression model parameters. It expresses the distance that the vector of model parameter estimates with the ith observation removed lies from the vector of model parameter estimates based on all observations. Large values of Cook’s distance indicate that the observation is inluential.

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 .

Counting techniques
Formulas used to determine the number of elements in sample spaces and events.

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.

Critical value(s)
The value of a statistic corresponding to a stated signiicance level as determined from the sampling distribution. For example, if PZ z PZ ( )( .) . ? =? = 0 025 . 1 96 0 025, then z0 025 . = 1 9. 6 is the critical value of z at the 0.025 level of signiicance. Crossed factors. Another name for factors that are arranged in a factorial experiment.

Eficiency
A concept in parameter estimation that uses the variances of different estimators; essentially, an estimator is more eficient than another estimator if it has smaller variance. When estimators are biased, the concept requires modiication.

Empirical model
A model to relate a response to one or more regressors or factors that is developed from data obtained from the system.

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

Event
A subset of a sample space.

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.

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.

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 .