 1.2.1E: A boy found a bicycle lock for which the combination was unknown. T...
 1.2.2E: In designing an experiment, the researcher can often choose many di...
 1.2.3E: How many different license plates are possible if a state uses(a) T...
 1.2.4E: The “eating club” is hosting a makeyourown sundae at which the fo...
 1.2.7E: In a state lottery, four digits are drawn at random one at a time w...
 1.2.8E: How many different varieties of pizza can be made if you have the f...
 1.2.9E: The World Series in baseball continues until either the American Le...
 1.2.10E: Pascal’s triangle gives amethod for calculating the binomial coeffi...
 1.2.11E: Three students (S) and six faculty members (F) are on a panel discu...
 1.2.12E: Prove Hint: Consider (1 ? 1)n and (1 + 1)n, or use Pascal’s equatio...
 1.2.14E: A bag of 36 dumdum pops (suckers) contains up to 10 flavors. That ...
 1.2.15E: Prove Equation 1.22. Hint: First select n1 positions in ways, Then...
 1.2.16E: A box of candy hearts contains 52 hearts, of which 19 are white, 10...
 1.2.17E: A poker hand is defined as drawing 5 cards at random without replac...
 1.2.1.21: A boy found a bicycle lock for which the combination was unknown. T...
 1.2.1.22: In designing an experiment, the researcher can often choose many di...
 1.2.1.23: How many different license plates are possible if a state uses (a) ...
 1.2.1.24: The eating club is hosting a makeyourown sundae at which the foll...
 1.2.1.25: How many fourletter code words are possible using the letters in I...
 1.2.1.26: Suppose that Novak Djokovic and Roger Federer are playing a tennis ...
 1.2.1.27: In a state lottery, four digits are drawn at random one at a time w...
 1.2.1.28: How many different varieties of pizza can be made if you have the f...
 1.2.1.29: The World Series in baseball continues until either the American Le...
 1.2.1.210: Pascals triangle gives a method for calculating the binomial coeffi...
 1.2.1.211: Three students (S) and six faculty members (F) are on a panel discu...
 1.2.1.212: Prove n r=0 (1)r n r = 0 and n r=0 n r = 2n. Hint: Consider (1 1)n ...
 1.2.1.213: A bridge hand is found by taking 13 cards at random and without rep...
 1.2.1.214: A bag of 36 dumdum pops (suckers) contains up to 10 flavors. That ...
 1.2.1.215: Prove Equation 1.22. Hint: First select n1 positions in n n1 ways....
 1.2.1.216: A box of candy hearts contains 52 hearts, of which 19 are white, 10...
 1.2.1.217: A poker hand is defined as drawing 5 cards at random without replac...
Solutions for Chapter 1.2: Probability
Full solutions for Probability and Statistical Inference  9th Edition
ISBN: 9780321923271
Solutions for Chapter 1.2: Probability
Get Full SolutionsThis textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 1.2: Probability includes 31 full stepbystep solutions. Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271. Since 31 problems in chapter 1.2: Probability have been answered, more than 92162 students have viewed full stepbystep solutions from this chapter.

2 k factorial experiment.
A full factorial experiment with k factors and all factors tested at only two levels (settings) each.

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.

Asymptotic relative eficiency (ARE)
Used to compare hypothesis tests. The ARE of one test relative to another is the limiting ratio of the sample sizes necessary to obtain identical error probabilities for the two procedures.

Attribute
A qualitative characteristic of an item or unit, usually arising in quality control. For example, classifying production units as defective or nondefective results in attributes data.

Causal variable
When y fx = ( ) and y is considered to be caused by x, x is sometimes called a causal variable

Conditional variance.
The variance of the conditional probability distribution of a random variable.

Continuity correction.
A correction factor used to improve the approximation to binomial probabilities from a normal distribution.

Correction factor
A term used for the quantity ( / )( ) 1 1 2 n xi i n ? = that is subtracted from xi i n 2 ? =1 to give the corrected sum of squares deined as (/ ) ( ) 1 1 2 n xx i x i n ? = i ? . The correction factor can also be written as nx 2 .

Critical region
In hypothesis testing, this is the portion of the sample space of a test statistic that will lead to rejection of the null hypothesis.

Cumulative distribution function
For a random variable X, the function of X deined as PX x ( ) ? that is used to specify the probability distribution.

Cumulative normal distribution function
The cumulative distribution of the standard normal distribution, often denoted as ?( ) x and tabulated in Appendix Table II.

Defectsperunit control chart
See U chart

Designed experiment
An experiment in which the tests are planned in advance and the plans usually incorporate statistical models. See Experiment

Dispersion
The amount of variability exhibited by data

Distribution free method(s)
Any method of inference (hypothesis testing or conidence interval construction) that does not depend on the form of the underlying distribution of the observations. Sometimes called nonparametric method(s).

Fixed factor (or fixed effect).
In analysis of variance, a factor or effect is considered ixed if all the levels of interest for that factor are included in the experiment. Conclusions are then valid about this set of levels only, although when the factor is quantitative, it is customary to it a model to the data for interpolating between these levels.

Fraction defective
In statistical quality control, that portion of a number of units or the output of a process that is defective.

Geometric mean.
The geometric mean of a set of n positive data values is the nth root of the product of the data values; that is, g x i n i n = ( ) = / w 1 1 .

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.

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 .