- 5.2.39: Role-playing games Computer games in which the players take the rol...
- 5.2.40: Tossing coins Imagine tossing a fair coin 3 times. (a) What is the ...
- 5.2.41: Role-playing games Refer to Exercise 39. Define event A: sum is 5. ...
- 5.2.42: Tossing coins Refer to Exercise 40. Define event B: get more heads ...
- 5.2.43: Probability models? In each of the following situations, state whet...
- 5.2.44: Rolling a die The following figure displays several possible probab...
- 5.2.45: Blood types All human blood can be typed as one of O, A, B, or AB, ...
- 5.2.46: Languages in Canada Canada has two official languages, English and ...
- 5.2.47: Education among young adults Choose a young adult (aged 25 to 29) a...
- 5.2.48: Preparing for the GMAT A company that offers courses to prepare stu...
- 5.2.49: Who eats breakfast? Students in an urban school were curious about ...
- 5.2.50: Sampling senators The two-way table below describes the members of ...
- 5.2.51: Roulette An American roulette wheel has 38 slots with numbers 1 thr...
- 5.2.52: Playing cards Shuffle a standard deck of playing cards and deal one...
- 5.2.53: Who eats breakfast? Refer to Exercise 49. (a) Construct a Venn diag...
- 5.2.54: Sampling senators Refer to Exercise 50. (a) Construct a Venn diagra...
- 5.2.55: Facebook versus YouTube A recent survey suggests that 85% of colleg...
- 5.2.56: Mac or PC? A recent census at a major university revealed that 40% ...
- 5.2.57: Multiple choice: Select the best answer for Exercises 57 to 60. In ...
- 5.2.58: Multiple choice: Select the best answer for Exercises 57 to 60. In ...
- 5.2.59: Multiple choice: Select the best answer for Exercises 57 to 60. The...
- 5.2.60: Multiple choice: Select the best answer for Exercises 57 to 60. If ...
- 5.2.61: Crawl before you walk (3.2) At what age do babies learn to crawl? D...
- 5.2.62: Treating low bone density (4.2) Fractures of the spine are common a...
Solutions for Chapter 5.2: Probability Rules
Full solutions for The Practice of Statistics | 5th Edition
Adjusted R 2
A variation of the R 2 statistic that compensates for the number of parameters in a regression model. Essentially, the adjustment is a penalty for increasing the number of parameters in the model. Alias. In a fractional factorial experiment when certain factor effects cannot be estimated uniquely, they are said to be aliased.
Average run length, or ARL
The average number of samples taken in a process monitoring or inspection scheme until the scheme signals that the process is operating at a level different from the level in which it began.
The joint probability distribution of two random variables.
An estimator that converges in probability to the true value of the estimated parameter as the sample size increases.
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.
Formulas used to determine the number of elements in sample spaces and events.
A parameter in a tabular CUSUM algorithm that is determined from a trade-off between false alarms and the detection of assignable causes.
Defects-per-unit control chart
See U chart
W. Edwards Deming (1900–1993) was a leader in the use of statistical quality control.
An experiment in which the tests are planned in advance and the plans usually incorporate statistical models. See Experiment
Discrete uniform random variable
A discrete random variable with a inite range and constant probability mass function.
A study in which a sample from a population is used to make inference to the population. See Analytic study
A subset of a sample space.
Exponential random variable
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 signal from a control chart when no assignable causes are present
An arrangement of the frequencies of observations in a sample or population according to the values that the observations take on
A function that is used to determine properties of the probability distribution of a random variable. See Moment-generating function
Goodness of fit
In general, the agreement of a set of observed values and a set of theoretical values that depend on some hypothesis. The term is often used in itting a theoretical distribution to a set of observations.
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