- 5-2.5-17: Suppose the random variables X, Y, and Z have the following joint p...
- 5-2.5-18: Continuation of Exercise 5-17. Determine the following:
- 5-2.5-19: Continuation of Exercise 5-17. Determine the conditional probabilit...
- 5-2.5-20: Based on the number of voids, a ferrite slab is classified as eithe...
- 5-2.5-21: Continuation of Exercise 5-20. Determine the following
- 5-2.5-22: Continuation of Exercise 5-20. Determine the following:
- 5-2.5-23: An order of 15 printers contains four with a graphicsenhancement fe...
- 5-2.5-24: Continuation of Exercise 5-23. Determine the conditional probabilit...
- 5-2.5-25: 5-25. Continuation of Exercise 5-23. Determine the following:
- 5-2.5-26: Continuation of Exercise 5-23. Determine the following: (a) (b) (c)...
- 5-2.5-27: Four electronic ovens that were dropped during shipment are inspect...
- 5-2.5-28: Continuation of Exercise 5-27. Determine the following: (a) The joi...
- 5-2.5-29: 5-29. Continuation of Exercise 5-27. Determine the following: (a) T...
- 5-2.5-30: In the transmission of digital information, the probability that a ...
- 5-2.5-31: 5-31. Continuation of Exercise 5-30. Let X and Y denote the number ...
- 5-2.5-32: A marketing company performed a risk analysis for a manufacturer of...
- 5-2.5-33: Continuation of Exercise 5-32. Determine the following: (a) (b) (c)...
Solutions for Chapter 5-2: MULTIPLE DISCRETE RANDOM VARIABLES
Full solutions for Applied Statistics and Probability for Engineers | 3rd Edition
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
a-error (or a-risk)
In hypothesis testing, an error incurred by failing to reject a null hypothesis when it is actually false (also called a type II error).
Sequences of independent trials with only two outcomes, generally called “success” and “failure,” in which the probability of success remains constant.
Box plot (or box and whisker plot)
A graphical display of data in which the box contains the middle 50% of the data (the interquartile range) with the median dividing it, and the whiskers extend to the smallest and largest values (or some deined lower and upper limits).
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.
The variance of the conditional probability distribution of a random variable.
A tabular arrangement expressing the assignment of members of a data set according to two or more categories or classiication criteria
Continuous random variable.
A random variable with an interval (either inite or ininite) of real numbers for its range.
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.
The value of a statistic corresponding to a stated signiicance level as determined from the sampling distribution. For example, if PZ z PZ ( )( .) . ? =? = 0 025 . 1 96 0 025, then z0 025 . = 1 9. 6 is the critical value of z at the 0.025 level of signiicance. Crossed factors. Another name for factors that are arranged in a factorial experiment.
Cumulative normal distribution function
The cumulative distribution of the standard normal distribution, often denoted as ?( ) x and tabulated in Appendix Table II.
Erlang random variable
A continuous random variable that is the sum of a ixed number of independent, exponential random variables.
Error mean square
The error sum of squares divided by its number of degrees of freedom.
Estimator (or point estimator)
A procedure for producing an estimate of a parameter of interest. An estimator is usually a function of only sample data values, and when these data values are available, it results in an estimate of the parameter of interest.
A series of tests in which changes are made to the system under study
The distribution of the random variable deined as the ratio of two independent chi-square random variables, each divided by its number of degrees of freedom.
A type of experimental design in which every level of one factor is tested in combination with every level of another factor. In general, in a factorial experiment, all possible combinations of factor levels are tested.
A signal from a control chart when no assignable causes are present
A method of variable selection in regression, where variables are inserted one at a time into the model until no other variables that contribute signiicantly to the model can be found.
Gamma random variable
A random variable that generalizes an Erlang random variable to noninteger values of the parameter r