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 5.1.4: Statistical Literacy Consider the probability distribution of a ran...
 5.1.5: Critical Thinking: Simulation We can use the random number table to...
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Solutions for Chapter 5.1: The Binomial Probability Distribution and Related Topics
Full solutions for Understandable Statistics  9th Edition
ISBN: 9780618949922
Solutions for Chapter 5.1: The Binomial Probability Distribution and Related Topics
Get Full SolutionsChapter 5.1: The Binomial Probability Distribution and Related Topics includes 17 full stepbystep solutions. Understandable Statistics was written by and is associated to the ISBN: 9780618949922. Since 17 problems in chapter 5.1: The Binomial Probability Distribution and Related Topics have been answered, more than 38606 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Understandable Statistics, edition: 9.

2 k p  factorial experiment
A fractional factorial experiment with k factors tested in a 2 ? p fraction with all factors tested at only two levels (settings) each

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

Bernoulli trials
Sequences of independent trials with only two outcomes, generally called “success” and “failure,” in which the probability of success remains constant.

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

Causeandeffect diagram
A chart used to organize the various potential causes of a problem. Also called a ishbone diagram.

Comparative experiment
An experiment in which the treatments (experimental conditions) that are to be studied are included in the experiment. The data from the experiment are used to evaluate the treatments.

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

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

Counting techniques
Formulas used to determine the number of elements in sample spaces and events.

Crossed factors
Another name for factors that are arranged in a factorial experiment.

Decision interval
A parameter in a tabular CUSUM algorithm that is determined from a tradeoff between false alarms and the detection of assignable causes.

Erlang random variable
A continuous random variable that is the sum of a ixed number of independent, exponential random variables.

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.

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

Ftest
Any test of signiicance involving the F distribution. The most common Ftests 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.

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

Fractional factorial experiment
A type of factorial experiment in which not all possible treatment combinations are run. This is usually done to reduce the size of an experiment with several factors.

Frequency distribution
An arrangement of the frequencies of observations in a sample or population according to the values that the observations take on

Gamma random variable
A random variable that generalizes an Erlang random variable to noninteger values of the parameter r

Harmonic mean
The harmonic mean of a set of data values is the reciprocal of the arithmetic mean of the reciprocals of the data values; that is, h n x i n i = ? ? ? ? ? = ? ? 1 1 1 1 g .