EBK STATISTICS FOR BUSINESS & ECONOMICS
12th Edition
ISBN: 8220100460463
Author: Anderson
Publisher: CENGAGE L
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Textbook Question
Chapter 5.1, Problem 1E
Consider the experiment of tossing a coin twice.
- a. List the experimental outcomes.
- b. Define a random variable that represents the number of heads occurring on the two tosses.
- c. Show what value the random variable would assume for each of the experimental outcomes.
- d. Is this random variable discrete or continuous?
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1- Let A = {A1, A2, ...), in which A, A, = 0, when i j.
a) Is A a π-system? If not, which element(s) should be added to A to become a π-system?
b) Prove that σ(A) consists of the finite or countable unions of elements of A; i.c., A E σ(A) if and
only if there exists finite or countable sequence {n} such that A = U₁An (Hint: Let F be such
class; prove that F is a σ-filed containing A.)
c) Let p ≥ 0 be a sequence of non-negative real numbers with Σip₁ = 1. Using p₁'s, how do you
construct a probability measure on σ(A)? (Hint: use extension theorem.)
2- Construct an example for which P(lim sup A,) = 1 and P(lim inf An) = 0.
In a town with 5000 adults, a sample of 50 is selected using SRSWOR and asked their opinion of a proposed municipal project; 30 are found to favor it and 20 oppose it. If, in fact, the adults of the town were equally divided on the proposal, what would be the probability of observing what has been observed? Approximate using the Binomial distribution. Compare this with the exact probability which is 0.0418.
Chapter 5 Solutions
EBK STATISTICS FOR BUSINESS & ECONOMICS
Ch. 5.1 - Consider the experiment of tossing a coin twice....Ch. 5.1 - Consider the experiment of a worker assembling a...Ch. 5.1 - Three students scheduled interviews for summer...Ch. 5.1 - In January the U.S. unemployment rate dropped to...Ch. 5.1 - To perform a certain type of blood analysis, lab...Ch. 5.1 - Listed is a series of experiments and associated...Ch. 5.2 - The probability distribution for the random...Ch. 5.2 - The following data were collected by counting the...Ch. 5.2 - For unemployed persons in the United States, the...Ch. 5.2 - The percent frequency distributions of job...
Ch. 5.2 - A technician services mailing machines at...Ch. 5.2 - The two largest cable providers are Comcast Cable...Ch. 5.2 - A psychologist determined that the number of...Ch. 5.2 - The following table is a partial probability...Ch. 5.3 - The following table provides a probability...Ch. 5.3 - The following table provides a probability...Ch. 5.3 - The number of students taking the SAT has risen to...Ch. 5.3 - The American Housing Survey reported the following...Ch. 5.3 - The National Basketball Association (NBA) records...Ch. 5.3 - The probability distribution for damage claims...Ch. 5.3 - The following probability distributions of job...Ch. 5.3 - The demand for a product of Carolina Industries...Ch. 5.3 - Prob. 23ECh. 5.3 - The J. R. Ryland Computer Company is considering a...Ch. 5.4 - Given below is a bivariate distribution for the...Ch. 5.4 - A person is interested in constructing a...Ch. 5.4 - The Chamber of Commerce in a Canadian city has...Ch. 5.4 - PortaCom has developed a design for a high-quality...Ch. 5.4 - J.P. Morgan Asset Management publishes information...Ch. 5.4 - In addition to the information in exercise 29 on...Ch. 5.5 - Consider a binomial experiment with two trials and...Ch. 5.5 - Consider a binomial experiment with n = 10 and p =...Ch. 5.5 - Consider a binomial experiment with n = 20 and p =...Ch. 5.5 - A Harris Interactive survey for InterContinental...Ch. 5.5 - In San Francisco, 30% of workers take public...Ch. 5.5 - When a new machine is functioning properly, only...Ch. 5.5 - A Randstad/Harris interactive survey reported that...Ch. 5.5 - Military radar and missile detection systems are...Ch. 5.5 - Twelve of the top 20 finishers in the 2009 PGA...Ch. 5.5 - The Census Bureaus Current Population Survey shows...Ch. 5.5 - A university found that 20% of its students...Ch. 5.5 - According to a survey conducted by TD Ameritrade,...Ch. 5.5 - Twenty-three percent of automobiles are not...Ch. 5.6 - Consider a Poisson distribution with = 3. a....Ch. 5.6 - Consider a Poisson distribution with a mean of two...Ch. 5.6 - Phone calls arrive at the rate of 48 per hour at...Ch. 5.6 - During the period of time that a local university...Ch. 5.6 - More than 50 million guests stay at bed and...Ch. 5.6 - Airline passengers arrive randomly and...Ch. 5.6 - An average of 15 aircraft accidents occur each...Ch. 5.6 - The National Safety Council (NSC) estimates that...Ch. 5.7 - Suppose N = 10 and r = 3. Compute the...Ch. 5.7 - Suppose N = 15 and r = 4. What is the probability...Ch. 5.7 - In a survey conducted by the Gallup Organization,...Ch. 5.7 - Blackjack, or twenty-one as it is frequently...Ch. 5.7 - Axline Computers manufactures personal computers...Ch. 5.7 - The Zagat Restaurant Survey provides food, decor,...Ch. 5.7 - The Troubled Asset Relief Program (TARP), passed...Ch. 5 - The Barrons Big Money Poll asked 131 investment...Ch. 5 - The American Association of Individual Investors...Ch. 5 - The budgeting process for a midwestern college...Ch. 5 - A bookstore at the Hartsfield-Jackson Airport in...Ch. 5 - The Knowles/Armitage (KA) group at Merrill Lynch...Ch. 5 - A survey showed that the average commuter spends...Ch. 5 - A political action group is planning to interview...Ch. 5 - Many companies use a quality control technique...Ch. 5 - The unemployment rate in the state of Arizona is...Ch. 5 - A poll conducted by Zogby International showed...Ch. 5 - Cars arrive at a car wash randomly and...Ch. 5 - A new automated production process averages 1.5...Ch. 5 - A regional director responsible for business...Ch. 5 - Customer arrivals at a bank are random and...Ch. 5 - A deck of playing cards contains 52 cards, four of...Ch. 5 - U.S. News World Reports ranking of Americas best...
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