 2.4.1E: An urn contains 7 red and 11 white balls. Draw one ball at random f...
 2.4.2E: Suppose that in Exercise 2.41, X = 1 if a red ball is drawn and X ...
 2.4.3E: On a sixquestion multiplechoice test there are five possible answ...
 2.4.4E: It is claimed that 15% of the ducks in a particular region have pat...
 2.4.5E: In a lab experiment involving inorganic syntheses of molecular prec...
 2.4.7E: Suppose that 2000 points are selected independently and at random f...
 2.4.8E: A boiler has four relief valves. The probability that each opens pr...
 2.4.9E: Suppose that the percentage of American drivers who are multitasker...
 2.4.10E: A certain type of mint has a label weight of 20.4 grams. Suppose th...
 2.4.11E: A random variable X has a binomial distribution with mean 6 and var...
 2.4.13E: It is claimed that for a particular lottery, 1/10 of the 50 million...
 2.4.14E: For the lottery described in Exercise 2.413, find the smallest num...
 2.4.15E: A hospital obtains 40% of its flu vaccine from Company A, 50% from ...
 2.4.16E: A company starts a fund of M dollars from which it pays $1000 to ea...
 2.4.17E: Your stockbroker is free to take your calls about 60% of the time; ...
 2.4.18E: In group testing for a certain disease, a blood sample was taken fr...
 2.4.2.41: An urn contains 7 red and 11 white balls. Draw one ball at random f...
 2.4.2.42: Suppose that in Exercise 2.41, X = 1 if a red ball is drawn and X ...
 2.4.2.43: On a sixquestion multiplechoice test there are five possible answ...
 2.4.2.44: It is claimed that 15% of the ducks in a particular region have pat...
 2.4.2.45: In a lab experiment involving inorganic syntheses of molecular prec...
 2.4.2.46: It is believed that approximately 75% of American youth now have in...
 2.4.2.47: Suppose that 2000 points are selected independently and at random f...
 2.4.2.48: A boiler has four relief valves. The probability that each opens pr...
 2.4.2.49: Suppose that the percentage of American drivers who are multitasker...
 2.4.2.410: A certain type of mint has a label weight of 20.4 grams. Suppose th...
 2.4.2.411: A random variable X has a binomial distribution with mean 6 and var...
 2.4.2.412: In the casino game chuckaluck, three fair sixsided dice are rolle...
 2.4.2.413: It is claimed that for a particular lottery, 1/10 of the 50 million...
 2.4.2.414: For the lottery described in Exercise 2.413, find the smallest num...
 2.4.2.415: A hospital obtains 40% of its flu vaccine from Company A, 50% from ...
 2.4.2.416: A company starts a fund of M dollars from which it pays $1000 to ea...
 2.4.2.417: Your stockbroker is free to take your calls about 60% of the time; ...
 2.4.2.418: In group testing for a certain disease, a blood sample was taken fr...
 2.4.2.419: Define the pmf and give the values of , 2, and when the momentgene...
 2.4.2.420: (i) Give the name of the distribution of X (if it has a name), (ii)...
Solutions for Chapter 2.4: Discrete Distributions
Full solutions for Probability and Statistical Inference  9th Edition
ISBN: 9780321923271
Solutions for Chapter 2.4: Discrete Distributions
Get Full SolutionsSince 36 problems in chapter 2.4: Discrete Distributions have been answered, more than 71751 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: Probability and Statistical Inference , edition: 9. Chapter 2.4: Discrete Distributions includes 36 full stepbystep solutions. Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271.

Acceptance region
In hypothesis testing, a region in the sample space of the test statistic such that if the test statistic falls within it, the null hypothesis cannot be rejected. This terminology is used because rejection of H0 is always a strong conclusion and acceptance of H0 is generally a weak conclusion

Alias
In a fractional factorial experiment when certain factor effects cannot be estimated uniquely, they are said to be aliased.

All possible (subsets) regressions
A method of variable selection in regression that examines all possible subsets of the candidate regressor variables. Eficient computer algorithms have been developed for implementing all possible regressions

Average
See Arithmetic mean.

Bayes’ estimator
An estimator for a parameter obtained from a Bayesian method that uses a prior distribution for the parameter along with the conditional distribution of the data given the parameter to obtain the posterior distribution of the parameter. The estimator is obtained from the posterior distribution.

Bivariate normal distribution
The joint distribution of two normal random variables

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).

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

Conditional probability mass function
The probability mass function of the conditional probability distribution of a discrete random variable.

Confounding
When a factorial experiment is run in blocks and the blocks are too small to contain a complete replicate of the experiment, one can run a fraction of the replicate in each block, but this results in losing information on some effects. These effects are linked with or confounded with the blocks. In general, when two factors are varied such that their individual effects cannot be determined separately, their effects are said to be confounded.

Consistent estimator
An estimator that converges in probability to the true value of the estimated parameter as the sample size increases.

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.

Cook’s distance
In regression, Cook’s distance is a measure of the inluence of each individual observation on the estimates of the regression model parameters. It expresses the distance that the vector of model parameter estimates with the ith observation removed lies from the vector of model parameter estimates based on all observations. Large values of Cook’s distance indicate that the observation is inluential.

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 .

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

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

Empirical model
A model to relate a response to one or more regressors or factors that is developed from data obtained from the system.

Estimate (or point estimate)
The numerical value of a point estimator.

Fraction defective control chart
See P chart