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# Solutions for Chapter 1.4: Probability ## Full solutions for Probability and Statistical Inference | 9th Edition

ISBN: 9780321923271 Solutions for Chapter 1.4: Probability

Solutions for Chapter 1.4
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##### ISBN: 9780321923271

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9. Since 37 problems in chapter 1.4: Probability have been answered, more than 72381 students have viewed full step-by-step solutions from this chapter. Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271. Chapter 1.4: Probability includes 37 full step-by-step solutions.

Key Statistics Terms and definitions covered in this textbook
• Attribute control chart

Any control chart for a discrete random variable. See Variables control chart.

• Biased estimator

Unbiased estimator.

• Binomial random variable

A discrete random variable that equals the number of successes in a ixed number of Bernoulli trials.

• Bivariate distribution

The joint probability distribution of two random variables.

• Central tendency

The tendency of data to cluster around some value. Central tendency is usually expressed by a measure of location such as the mean, median, or mode.

• Chance cause

The portion of the variability in a set of observations that is due to only random forces and which cannot be traced to speciic sources, such as operators, materials, or equipment. Also called a common cause.

• Chi-square test

Any test of signiicance based on the chi-square distribution. The most common chi-square tests are (1) testing hypotheses about the variance or standard deviation of a normal distribution and (2) testing goodness of it of a theoretical distribution to sample data

• Conidence coeficient

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

• Contrast

A linear function of treatment means with coeficients that total zero. A contrast is a summary of treatment means that is of interest in an experiment.

• 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 off-diagonal elements rij are the correlations between Xi and Xj .

• Critical region

In hypothesis testing, this is the portion of the sample space of a test statistic that will lead to rejection of the null hypothesis.

• Deming

W. Edwards Deming (1900–1993) was a leader in the use of statistical quality control.

• Discrete uniform random variable

A discrete random variable with a inite range and constant probability mass function.

• 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 propagation

An analysis of how the variance of the random variable that represents that output of a system depends on the variances of the inputs. A formula exists when the output is a linear function of the inputs and the formula is simpliied if the inputs are assumed to be independent.

• Event

A subset of a sample space.

• Exhaustive

A property of a collection of events that indicates that their union equals the sample space.

• First-order model

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

• Fraction defective control chart

See P chart

• 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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