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# 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

Solutions for Chapter 13
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##### ISBN: 9780321854018

Stats 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 step-by-step solutions from this chapter. Chapter 13: From Randomness to Probability includes 48 full step-by-step 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.

Key Statistics Terms and definitions covered in this textbook
• 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.

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