 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 48345 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.

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.

Bernoulli trials
Sequences of independent trials with only two outcomes, generally called “success” and “failure,” in which the probability of success remains constant.

Binomial random variable
A discrete random variable that equals the number of successes in a ixed number of Bernoulli trials.

Completely randomized design (or experiment)
A type of experimental design in which the treatments or design factors are assigned to the experimental units in a random manner. In designed experiments, a completely randomized design results from running all of the treatment combinations in random order.

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

Conidence interval
If it is possible to write a probability statement of the form PL U ( ) ? ? ? ? = ?1 where L and U are functions of only the sample data and ? is a parameter, then the interval between L and U is called a conidence interval (or a 100 1( )% ? ? conidence interval). The interpretation is that a statement that the parameter ? lies in this interval will be true 100 1( )% ? ? of the times that such a statement is made

Conidence level
Another term for the conidence coeficient.

Continuous uniform random variable
A continuous random variable with range of a inite interval and a constant probability density function.

Convolution
A method to derive the probability density function of the sum of two independent random variables from an integral (or sum) of probability density (or mass) functions.

Correlation
In the most general usage, a measure of the interdependence among data. The concept may include more than two variables. The term is most commonly used in a narrow sense to express the relationship between quantitative variables or ranks.

Critical value(s)
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.

Decision interval
A parameter in a tabular CUSUM algorithm that is determined from a tradeoff between false alarms and the detection of assignable causes.

Defect
Used in statistical quality control, a defect is a particular type of nonconformance to speciications or requirements. Sometimes defects are classiied into types, such as appearance defects and functional defects.

Defectsperunit control chart
See U chart

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).

Generator
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 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 .

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 .