Statistics for Business & Economics, Revised (MindTap Course List)
12th Edition
ISBN: 9781285846323
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: South-Western College Pub
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Chapter 4.3, Problem 25E
The U.S. Census Bureau provides data on the number of young adults, ages 18–24, who are living in their parents’ home.1 Let
M = the
F = the event a female young adult is living in her parents’ home
If we randomly select a male young adult and a female young adult, the Census Bureau data enable us to conclude P(M) = .56 and P(F) = .42 (The World Almanac, 2006). The
- a. What is the probability at least one of the two young adults selected is living in his or her parents’ home?
- b. What is the probability both young adults selected are living on their own (neither is living in their parents’ home)?
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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 4 Solutions
Statistics for Business & Economics, Revised (MindTap Course List)
Ch. 4.1 - An experiment has three steps with three outcomes...Ch. 4.1 - How many ways can three items be selected from a...Ch. 4.1 - How many permutations of three items can be...Ch. 4.1 - Consider the experiment of tossing a coin three...Ch. 4.1 - Suppose an experiment has five equally likely...Ch. 4.1 - An experiment with three outcomes has been...Ch. 4.1 - A decision maker subjectively assigned the...Ch. 4.1 - In the city of Milford, applications for zoning...Ch. 4.1 - Simple random sampling uses a sample of size n...Ch. 4.1 - Many students accumulate debt by the time they...
Ch. 4.1 - The National Occupant Protection Use Survey...Ch. 4.1 - The Powerball lottery is played twice each week in...Ch. 4.1 - A company that manufactures toothpaste is studying...Ch. 4.2 - An experiment has four equally likely outcomes:...Ch. 4.2 - Consider the experiment of selecting a playing...Ch. 4.2 - Consider the experiment of rolling a pair of dice....Ch. 4.2 - Refer to the KPL sample points and sample point...Ch. 4.2 - To investigate how often families eat at home,...Ch. 4.2 - Do you think the government protects investors...Ch. 4.2 - Fortune magazine publishes an annual list of the...Ch. 4.2 - Data on U.S. work-related fatalities by cause...Ch. 4.3 - Suppose that we have a sample space with five...Ch. 4.3 - Suppose that we have a sample space S = {E1, E2,...Ch. 4.3 - Clarkson University surveyed alumni to learn more...Ch. 4.3 - The U.S. Census Bureau provides data on the number...Ch. 4.3 - Information about mutual funds provided by...Ch. 4.3 - What NCAA college basketball conferences have the...Ch. 4.3 - A survey of magazine subscribers showed that 45.8%...Ch. 4.3 - High school seniors with strong academic records...Ch. 4.4 - Suppose that we have two events, A and B, with...Ch. 4.4 - Assume that we have two events, A and B, that are...Ch. 4.4 - The automobile industry sold 657,000 vehicles in...Ch. 4.4 - Students taking the Graduate Management Admissions...Ch. 4.4 - The U.S. Department of Transportation reported...Ch. 4.4 - According to the Ameriprise Financial Money Across...Ch. 4.4 - Jamal Crawford of the National Basketball...Ch. 4.4 - Visa Card USA studied how frequently young...Ch. 4.4 - Students in grades 3 through 8 in New York State...Ch. 4.5 - The prior probabilities for events A1 and A2 are...Ch. 4.5 - The prior probabilities for events A1, A2, and A3...Ch. 4.5 - A consulting firm submitted a bid for a large...Ch. 4.5 - A local bank reviewed its credit card policy with...Ch. 4.5 - Two Wharton professors analyzed 1,613,234 putts by...Ch. 4.5 - According to the Open Doors 2011 Report, 9.5% of...Ch. 4.5 - In an article about investment alternatives, Money...Ch. 4 - The Wall Street Journal/Harris Personal Finance...Ch. 4 - A financial manager made two new investmentsone in...Ch. 4 - Forty-three percent of Americans use social media...Ch. 4 - A study of 31,000 hospital admissions in New York...Ch. 4 - A telephone survey to determine viewer response to...Ch. 4 - The following crosstabulation shows household...Ch. 4 - An MBA new-matriculants survey provided the...Ch. 4 - Refer again to the data from the MBA...Ch. 4 - In February 2012, the Pew Internet American Life...Ch. 4 - A large consumer goods company ran a television...Ch. 4 - Cooper Realty is a small real estate company...Ch. 4 - A company studied the number of lost-time...Ch. 4 - A survey showed that 8% of Internet users age 18...Ch. 4 - An oil company purchased an option on land in...Ch. 4 - The five most common words appearing in spam...Ch. 4 - Hamilton County Judges Hamilton County judges try...
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