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# Solutions for Chapter 6.3: Binomial and Geometric Random Variables

## Full solutions for The Practice of Statistics | 5th Edition

ISBN: 9781464108730

Solutions for Chapter 6.3: Binomial and Geometric Random Variables

Solutions for Chapter 6.3
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##### ISBN: 9781464108730

This textbook survival guide was created for the textbook: The Practice of Statistics, edition: 5. Chapter 6.3: Binomial and Geometric Random Variables includes 39 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 39 problems in chapter 6.3: Binomial and Geometric Random Variables have been answered, more than 3585 students have viewed full step-by-step solutions from this chapter. The Practice of Statistics was written by and is associated to the ISBN: 9781464108730.

Key Statistics Terms and definitions covered in this textbook

A variation of the R 2 statistic that compensates for the number of parameters in a regression model. Essentially, the adjustment is a penalty for increasing the number of parameters in the model. Alias. In a fractional factorial experiment when certain factor effects cannot be estimated uniquely, they are said to be aliased.

• Axioms of probability

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

• Bayesâ€™ theorem

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

• Bivariate distribution

The joint probability distribution of two random variables.

• C chart

An attribute control chart that plots the total number of defects per unit in a subgroup. Similar to a defects-per-unit or U chart.

• 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.

• Central composite design (CCD)

A second-order response surface design in k variables consisting of a two-level factorial, 2k axial runs, and one or more center points. The two-level 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 second-order model.

• Coeficient of determination

See R 2 .

• Conditional probability

The probability of an event given that the random experiment produces an outcome in another event.

• Continuous uniform random variable

A continuous random variable with range of a inite interval and a constant probability density function.

• Control chart

A graphical display used to monitor a process. It usually consists of a horizontal center line corresponding to the in-control 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 in-control, or free from assignable causes. Points beyond the control limits indicate an out-of-control process; that is, assignable causes are likely present. This signals the need to ind and remove the assignable causes.

• Cumulative normal distribution function

The cumulative distribution of the standard normal distribution, often denoted as ?( ) x and tabulated in Appendix Table II.

• Defect concentration diagram

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

• Design matrix

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

• Enumerative study

A study in which a sample from a population is used to make inference to the population. See Analytic study

• Error sum of squares

In analysis of variance, this is the portion of total variability that is due to the random component in the data. It is usually based on replication of observations at certain treatment combinations in the experiment. It is sometimes called the residual sum of squares, although this is really a better term to use only when the sum of squares is based on the remnants of a model-itting process and not on replication.

• Event

A subset of a sample space.

• Exponential random variable

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

• Gaussian distribution

Another name for the normal distribution, based on the strong connection of Karl F. Gauss to the normal distribution; often used in physics and electrical engineering applications

• Generating function

A function that is used to determine properties of the probability distribution of a random variable. See Moment-generating function

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