 13.1: One common proposal for beating the lottery is to note which number...
 13.2: Opinion polling organizations contact their respondents by telephon...
 13.3: Roulette A casino claims that its roulette wheel is truly random. W...
 13.4: Rain The weather reporter on TV makes predictions such as a 25% cha...
 13.5: Winter Comment on the following quotation: What I think is our best...
 13.6: Snow After an unusually dry autumn, a radio announcer is heard to s...
 13.7: Cold streak A batter who had failed to get a hit in seven consecuti...
 13.8: Crash Commercial airplanes have an excellent safety record. Neverth...
 13.9: Auto insurance Insurance companies collect annual payments from dri...
 13.10: Jackpot On February 11, 2009, the AP news wire released the followi...
 13.11: Wardrobe In your dresser are five blue shirts, three red shirts, an...
 13.12: Playlists Your list of favorite songs contains 10 rock songs, 7 rap...
 13.13: Cell phones and surveys A 2010 study conducted by the National Cent...
 13.14: Cell phones and surveys II The survey by the National Center for He...
 13.15: Spinner The plastic arrow on a spinner for a childs game stops rota...
 13.16: Scratch off Many stores run secret sales: Shoppers receive cards th...
 13.17: Electronics Suppose that 46% of families living in a certain county...
 13.18: Homes Funding for many schools comes from taxes based on assessed v...
 13.19: Speeders Traffic checks on a certain section of highway suggest tha...
 13.20: Lefties Although its hard to be definitive in classifying people as...
 13.21: College admissions For high school students graduating in 2007, col...
 13.22: College admissions II In Exercise 21, we saw that in 2007 Harvard a...
 13.23: Car repairs A consumer organization estimates that over a 1year pe...
 13.24: Family Music Your family has an iPod filled with music. It has many...
 13.25: More repairs Consider again the auto repair rates described in Exer...
 13.26: More music You listen to two songs, as described in Exercise 24. Wh...
 13.27: Repairs, again You used the Multiplication Rule to calculate repair...
 13.28: Coda You used the Multiplication Rule to calculate probabilities ab...
 13.29: Energy 2011 A Gallup Poll in March 2011 asked 1012 U.S. adults whet...
 13.30: Failing fathers? A Pew Research poll in 2011 asked 2005 U.S. adults...
 13.31: More energy Exercise 29 shows the results of a Gallup Poll about en...
 13.32: Fathers, revisited Consider again the results of the poll about fat...
 13.33: Polling As mentioned in the chapter, opinionpolling organizations ...
 13.34: Polling, part II According to Pew Research, the contact rate (proba...
 13.35: M&Ms The Masterfoods company says that before the introduction of p...
 13.36: Blood The American Red Cross says that about 45% of the U.S. popula...
 13.37: Disjoint or independent? In Exercise 35 you calculated probabilitie...
 13.38: Disjoint or independent? In Exercise 36 you calculated probabilitie...
 13.39: Dice You roll a fair die three times. What is the probability that ...
 13.40: Slot machine A slot machine has three wheels that spin independentl...
 13.41: Champion bowler A certain bowler can bowl a strike 70% of the time....
 13.42: The train To get to work, a commuter must cross train tracks. The t...
 13.43: Voters Suppose that in your city 37% of the voters are registered a...
 13.44: Religion Census reports for a city indicate that 62% of residents c...
 13.45: Tires You bought a new set of four tires from a manufacturer who ju...
 13.46: Pepsi For a sales promotion, the manufacturer places winning symbol...
 13.47: 9/11? On September 11, 2002, the first anniversary of the terrorist...
 13.48: Red cards You shuffle a deck of cards and then start turning them o...
Solutions for Chapter 13: From Randomness to Probability
Full solutions for Stats Modeling the World  4th Edition
ISBN: 9780321854018
Solutions for Chapter 13: From Randomness to Probability
Get Full SolutionsStats Modeling the World was written by and is associated to the ISBN: 9780321854018. Since 48 problems in chapter 13: From Randomness to Probability have been answered, more than 18280 students have viewed full stepbystep solutions from this chapter. Chapter 13: From Randomness to Probability includes 48 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Stats Modeling the World, edition: 4.

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

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

Bimodal distribution.
A distribution with two modes

Categorical data
Data consisting of counts or observations that can be classiied into categories. The categories may be descriptive.

Components of variance
The individual components of the total variance that are attributable to speciic sources. This usually refers to the individual variance components arising from a random or mixed model analysis of variance.

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

Conidence level
Another term for the conidence coeficient.

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

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

Control limits
See Control chart.

Correction factor
A term used for the quantity ( / )( ) 1 1 2 n xi i n ? = that is subtracted from xi i n 2 ? =1 to give the corrected sum of squares deined as (/ ) ( ) 1 1 2 n xx i x i n ? = i ? . The correction factor can also be written as nx 2 .

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

Discrete distribution
A probability distribution for a discrete random variable

Discrete random variable
A random variable with a inite (or countably ininite) range.

Dispersion
The amount of variability exhibited by data

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.

Error mean square
The error sum of squares divided by its number of degrees of freedom.

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.

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