- 3.2.1: Let X be a random variable with the p.d.f. specified in Example 3.2...
- 3.2.2: Suppose that the p.d.f. of a random variable X is as follows: f (x)...
- 3.2.3: Suppose that the p.d.f. of a random variable X is as follows: f (x)...
- 3.2.4: Suppose that the p.d.f. of a random variable X is as follows: f (x)...
- 3.2.5: Suppose that the p.d.f. of a random variable X is as follows: f (x)...
- 3.2.6: Let X be a random variable for which the p.d.f. is as given in Exer...
- 3.2.7: Suppose that a random variable X has the uniform distribution on th...
- 3.2.8: Suppose that the p.d.f. of a random variable X is as follows: f (x)...
- 3.2.9: Show that there does not exist any number c such that the following...
- 3.2.10: Suppose that the p.d.f. of a random variable X is as follows: f (x)...
- 3.2.11: Show that there does not exist any number c such that the following...
- 3.2.12: In Example 3.1.3 on page 94, determine the distribution of the rand...
- 3.2.13: An ice cream seller takes 20 gallons of ice cream in her truck each...
Solutions for Chapter 3.2: Random Variables and Distributions
Full solutions for Probability and Statistics | 4th Edition
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
A study in which a sample from a population is used to make inference to a future population. Stability needs to be assumed. See Enumerative study
Sequences of independent trials with only two outcomes, generally called “success” and “failure,” in which the probability of success remains constant.
Bivariate normal distribution
The joint distribution of two normal random variables
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.
A chart used to organize the various potential causes of a problem. Also called a ishbone diagram.
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.
A tabular arrangement expressing the assignment of members of a data set according to two or more categories or classiication criteria
See Control chart.
A dimensionless measure of the linear association between two variables, usually lying in the interval from ?1 to +1, with zero indicating the absence of correlation (but not necessarily the independence of the two variables).
Deming’s 14 points.
A management philosophy promoted by W. Edwards Deming that emphasizes the importance of change and quality
The amount of variability exhibited by data
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.
The variance of an error term or component in a model.
Estimate (or point estimate)
The numerical value of a point estimator.
A subset of a sample space.
Exponential random variable
A series of tests in which changes are made to the system under study
Finite population correction factor
A term in the formula for the variance of a hypergeometric random variable.
Effects in a fractional factorial experiment that are used to construct the experimental tests used in the experiment. The generators also deine the aliases.
Geometric random variable
A discrete random variable that is the number of Bernoulli trials until a success occurs.