- 5.3.1: Statistical Literacy What does the expected value of a binomial dis...
- 5.3.2: Statistical Literacy Consider two binomial distributions, with n tr...
- 5.3.3: Critical Thinking Consider a binomial distribution of 200 trials wi...
- 5.3.4: Critical Thinking Consider a binomial distribution with 10 trials. ...
- 5.3.5: Binomial Distribution: Histograms Consider a binomial distribution ...
- 5.3.6: Binomial Distributions: Histograms Figure 5-6 shows histograms of s...
- 5.3.7: Marketing: Photography Does the kid factor make a difference? If yo...
- 5.3.8: Quality Control: Syringes The quality-control inspector of a produc...
- 5.3.9: Private Investigation: Locating People Old Friends Information Serv...
- 5.3.10: Insurance: Auto The Mountain States Office of State Farm Insurance ...
- 5.3.11: Education: Illiteracy USA Today reported that about 20% of all peop...
- 5.3.12: Rude Drivers: Tailgating Do you tailgate the car in front of you? A...
- 5.3.13: Hype: Improved Products The Wall Street Journal reported that appro...
- 5.3.14: Quota Problem: Archaeology An archaeological excavation at Burnt Me...
- 5.3.15: Criminal Justice: Parole USA Today reports that about 25% of all pr...
- 5.3.16: Defense: Radar Stations The probability that a single radar station...
- 5.3.17: Criminal Justice: Jury Duty Have you ever tried to get out of jury ...
- 5.3.18: Public Safety: 911 Calls The Denver Post reported that a recent aud...
- 5.3.19: Law Enforcement: Property Crime Does crime pay? The FBI Standard Su...
- 5.3.20: Security: Burglar Alarms A large bank vault has several automatic b...
- 5.3.21: Criminal Justice: Convictions Innocent until proven guilty? In Japa...
- 5.3.22: Focus Problem: Personality Types We now have the tools to solve the...
- 5.3.23: Quota Problem: Motel Rooms The owners of a motel in Florida have no...
- 5.3.24: Critical Thinking Let r be a binomial random variable representing ...
Solutions for Chapter 5.3: The Binomial Probability Distribution and Related Topics
Full solutions for Understandable Statistics | 9th Edition
Solutions for Chapter 5.3: The Binomial Probability Distribution and Related TopicsGet Full Solutions
In a fractional factorial experiment when certain factor effects cannot be estimated uniquely, they are said to be aliased.
The arithmetic mean of a set of numbers x1 , x2 ,…, xn is their sum divided by the number of observations, or ( / )1 1 n xi t n ? = . The arithmetic mean is usually denoted by x , and is often called the average
See Arithmetic mean.
An equation for a conditional probability such as PA B ( | ) in terms of the reverse conditional probability PB A ( | ).
In experimental design, a group of experimental units or material that is relatively homogeneous. The purpose of dividing experimental units into blocks is to produce an experimental design wherein variability within blocks is smaller than variability between blocks. This allows the factors of interest to be compared in an environment that has less variability than in an unblocked experiment.
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.
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.
The mean of the conditional probability distribution of a 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
An estimator that converges in probability to the true value of the estimated parameter as the sample size increases.
Formulas used to determine the number of elements in sample spaces and events.
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 off-diagonal elements are the covariances between Xi and Xj . Also called the variance-covariance matrix. When the random variables are standardized to have unit variances, the covariance matrix becomes the correlation matrix.
Cumulative normal distribution function
The cumulative distribution of the standard normal distribution, often denoted as ?( ) x and tabulated in Appendix Table II.
A parameter in a tabular CUSUM algorithm that is determined from a trade-off between false alarms and the detection of assignable causes.
Defect concentration diagram
A quality tool that graphically shows the location of defects on a part or in a process.
A matrix that provides the tests that are to be conducted in an experiment.
A probability distribution for a discrete random variable
Any test of signiicance involving the F distribution. The most common F-tests 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.
A function that is used to determine properties of the probability distribution of a random variable. See Moment-generating function
Effects in a fractional factorial experiment that are used to construct the experimental tests used in the experiment. The generators also deine the aliases.