 5.1.1: From an ordinary deck of 52 cards, cards are drawn at random and wi...
 5.1.2: The probability that a randomly selected person is female is 1/2. W...
 5.1.3: A graduate class consists of six students. What is the probability ...
 5.1.4: In a state where license plates contain six digits, what is the pro...
 5.1.5: A box contains 30 balls numbered 1 through 30. Suppose that five ba...
 5.1.6: A manufacturer of nails claims that only 3% of its nails are defect...
 5.1.7: Only 60% of certain kinds of seeds germinate when planted under nor...
 5.1.8: Suppose that the Internal Revenue Service will audit 20% of income ...
 5.1.9: If two fair dice are rolled 10 times, what is the probability of at...
 5.1.10: From the interval (0, 1), five points are selected at random and in...
 5.1.11: Let X be a binomial random variable with parameters (n, p) and prob...
 5.1.12: On average, how many times should Ernie play poker in order to be d...
 5.1.13: Suppose that each day the price of a stock moves up 1/8th of a poin...
 5.1.14: From the set {x : 0 x 1}, 100 independent numbers are selected at r...
 5.1.15: A certain basketball player makes a foul shot with probability 0.45...
 5.1.16: What are the expected value and variance of the number of full hous...
 5.1.17: What is the probability that at least two of the six members of a f...
 5.1.18: A certain rare blood type can be found in only 0.05% of people. If ...
 5.1.19: Edwards experience shows that 7% of the parcels he mails will not r...
 5.1.20: A woman and her husband want to have a 95% chance for at least one ...
 5.1.21: A computer network consists of several stations connected by variou...
 5.1.22: Consider the following problem posed by Michael Khoury, U.S. Math O...
 5.1.23: In a community, a persons are for abortion, b (b < a) are against i...
 5.1.24: A game often played in carnivals and gambling houses is called chuc...
 5.1.25: Let X be a binomial random variable with the parameters (n, p). Pro...
 5.1.26: Suppose that an aircraft engine will fail in flight with probabilit...
 5.1.27: The simplest error detection scheme used in data communication is p...
 5.1.28: In Exercise 27, suppose that a message consisting of six characters...
 5.1.29: How many games of poker occur until a preassigned player is dealt a...
 5.1.30: (Genetics) In a population of n diploid organisms with alternate do...
 5.1.31: The postoffice of a certain small town has only one clerk to wait o...
 5.1.32: (a) What is the probability of an even number of successes in n ind...
 5.1.33: An urn contains n balls whose colors, red or blue, are equally prob...
 5.1.34: While Rose always tells the truth, four of her friends, Albert, Bre...
Solutions for Chapter 5.1: Bernoulli and Binomial Random Variables
Full solutions for Fundamentals of Probability, with Stochastic Processes  3rd Edition
ISBN: 9780131453401
Solutions for Chapter 5.1: Bernoulli and Binomial Random Variables
Get Full SolutionsFundamentals of Probability, with Stochastic Processes was written by and is associated to the ISBN: 9780131453401. This textbook survival guide was created for the textbook: Fundamentals of Probability, with Stochastic Processes, edition: 3. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 5.1: Bernoulli and Binomial Random Variables includes 34 full stepbystep solutions. Since 34 problems in chapter 5.1: Bernoulli and Binomial Random Variables have been answered, more than 15372 students have viewed full stepbystep solutions from this chapter.

aerror (or arisk)
In hypothesis testing, an error incurred by failing to reject a null hypothesis when it is actually false (also called a type II error).

Additivity property of x 2
If two independent random variables X1 and X2 are distributed as chisquare with v1 and v2 degrees of freedom, respectively, Y = + X X 1 2 is a chisquare random variable with u = + v v 1 2 degrees of freedom. This generalizes to any number of independent chisquare random variables.

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.

Bayesâ€™ 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.

Bias
An effect that systematically distorts a statistical result or estimate, preventing it from representing the true quantity of interest.

Conditional probability
The probability of an event given that the random experiment produces an outcome in another event.

Control limits
See Control chart.

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.

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.

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

Cumulative sum control chart (CUSUM)
A control chart in which the point plotted at time t is the sum of the measured deviations from target for all statistics up to time t

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

Demingâ€™s 14 points.
A management philosophy promoted by W. Edwards Deming that emphasizes the importance of change and quality

Dispersion
The amount of variability exhibited by data

Distribution function
Another name for a cumulative distribution function.

Enumerative study
A study in which a sample from a population is used to make inference to the population. See Analytic study

Extra sum of squares method
A method used in regression analysis to conduct a hypothesis test for the additional contribution of one or more variables to a model.

Firstorder model
A model that contains only irstorder terms. For example, the irstorder response surface model in two variables is y xx = + ?? ? ? 0 11 2 2 + + . A irstorder model is also called a main effects model

Generating function
A function that is used to determine properties of the probability distribution of a random variable. See Momentgenerating function