Essentials Of Modern Business Statistics With Microsoft Excel, Loose-leaf Version
7th Edition
ISBN: 9781337298308
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: Cengage Learning
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Chapter 4.1, Problem 11E
A Gallup Poll of U.S. adults indicated that Kentucky is the state with the highest percentage of smokers (Gallup.com, December 2015). Consider the following example data from
the Tri-State region, an area that comprises northern Kentucky, southeastern Indiana, and southwestern Ohio.
a.Use the data to compute the
b.What is the probability of an adult in each state of the Tri-State region being a smoker? Which state in the Tri-State region has the lowest probability of an adult being a smoker?
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Pam, Rob and Sam get a cake that is one-third chocolate, one-third vanilla, and one-third strawberry as shown below. They wish to fairly divide the cake using the lone chooser method. Pam likes strawberry twice as much as chocolate or vanilla. Rob only likes chocolate. Sam, the chooser, likes vanilla and strawberry twice as much as chocolate. In the first division, Pam cuts the strawberry piece off and lets Rob choose his favorite piece. Based on that, Rob chooses the chocolate and vanilla parts. Note: All cuts made to the cake shown below are vertical.Which is a second division that Rob would make of his share of the cake?
Three players (one divider and two choosers) are going to divide a cake fairly using the lone divider method. The divider cuts the cake into three slices (s1, s2, and s3).
If the choosers' declarations are Chooser 1: {s1 , s2} and Chooser 2: {s2 , s3}.
Using the lone-divider method, how many different fair divisions of this cake are possible?
Theorem 2.6 (The Minkowski inequality)
Let p≥1. Suppose that X and Y are random variables, such that E|X|P <∞ and
E|Y P <00. Then
X+YpX+Yp
Chapter 4 Solutions
Essentials Of Modern Business Statistics With Microsoft Excel, Loose-leaf Version
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 - Prob. 3ECh. 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 - Prob. 7ECh. 4.1 - In the city of Milford, applications for zoning...Ch. 4.1 - Prob. 9ECh. 4.1 - The following table shows the percentage of...
Ch. 4.1 - A Gallup Poll of U.S. adults indicated that...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 - Prob. 14ECh. 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 KP&L sample points and sample point...Ch. 4.2 - Prob. 18ECh. 4.2 - Do you think global warming will have an impact on...Ch. 4.2 - Junior Achievement USA and the Allstate Foundation...Ch. 4.2 - Data on U S. work-related fatalities by cause...Ch. 4.3 - Prob. 22ECh. 4.3 - Suppose that we have a sample space...Ch. 4.3 - Clarkson University surveyed alumni to learn more...Ch. 4.3 - Prob. 25ECh. 4.3 - Information about mutual funds provided by...Ch. 4.3 - Prob. 27ECh. 4.3 - A survey of magazine subscribers showed that 45.8%...Ch. 4.3 - Prob. 29ECh. 4.4 - Suppose that we have two events, A and B, with...Ch. 4.4 - Prob. 31ECh. 4.4 - Consider the following example survey results of...Ch. 4.4 - Prob. 33ECh. 4.4 - The Bureau of Transportation Statistics reports...Ch. 4.4 - To better understand how husbands and wives feel...Ch. 4.4 - Prob. 36ECh. 4.4 - A joint survey by Parade magazine and Yahoo! found...Ch. 4.4 - The Institute for Higher Education Policy, a...Ch. 4.5 - The prior probabilities for events A1 and A2 are...Ch. 4.5 - Prob. 40ECh. 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 - In August 2012, tropical storm Isaac formed in the...Ch. 4.5 - ParFore created a website to market golf equipment...Ch. 4.5 - The percentage of adult users of the Internet who...Ch. 4 - A USA Today survey of adults aged 18 and older...Ch. 4 - A financial manager made two new investments—one...Ch. 4 - Below are the results of a survey of 1364...Ch. 4 - A study of 31,000 hospital admissions in New York...Ch. 4 - Prob. 50SECh. 4 - Prob. 51SECh. 4 - Prob. 52SECh. 4 - Refer again to the data from the MBA new...Ch. 4 - The Pew Internet & American Life project conducted...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 - According to the Open Doors Report, 9.5% of all...Ch. 4 - An oil company purchased an option on land in...Ch. 4 - A study reported by Forbes indicated that the five...Ch. 4 - Hamilton County Judges Hamilton County judges try...Ch. 4 - Hamilton County Judges Hamilton County judges try...Ch. 4 - Hamilton County Judges Hamilton County judges try...Ch. 4 - Hamilton County Judges Hamilton County judges try...Ch. 4 - Hamilton County Judges Hamilton County judges try...Ch. 4 - Rob's Market Rob's Market (RM) is a regional food...Ch. 4 - Prob. 4.2.2CPCh. 4 - Rob's Market Rob's Market (RM) is a regional food...Ch. 4 - Rob's Market Rob's Market (RM) is a regional food...Ch. 4 - Prob. 4.2.5CPCh. 4 - Rob's Market Rob's Market (RM) is a regional food...Ch. 4 - Prob. 4.2.7CPCh. 4 - Prob. 4.2.8CPCh. 4 - Prob. 4.2.9CPCh. 4 - Rob's Market Rob's Market (RM) is a regional food...
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- Theorem 1.2 (1) Suppose that P(|X|≤b) = 1 for some b > 0, that EX = 0, and set Var X = 0². Then, for 0 0, P(X > x) ≤e-x+1²² P(|X|>x) ≤2e-1x+1²² (ii) Let X1, X2...., Xn be independent random variables with mean 0, suppose that P(X ≤b) = 1 for all k, and set oσ = Var X. Then, for x > 0. and 0x) ≤2 exp Σ k=1 (iii) If, in addition, X1, X2, X, are identically distributed, then P(S|x) ≤2 expl-tx+nt²o).arrow_forwardTheorem 5.1 (Jensen's inequality) state without proof the Jensen's Ineg. Let X be a random variable, g a convex function, and suppose that X and g(X) are integrable. Then g(EX) < Eg(X).arrow_forwardCan social media mistakes hurt your chances of finding a job? According to a survey of 1,000 hiring managers across many different industries, 76% claim that they use social media sites to research prospective candidates for any job. Calculate the probabilities of the following events. (Round your answers to three decimal places.) answer parts a-c. a) Out of 30 job listings, at least 19 will conduct social media screening. b) Out of 30 job listings, fewer than 17 will conduct social media screening. c) Out of 30 job listings, exactly between 19 and 22 (including 19 and 22) will conduct social media screening. show all steps for probabilities please. answer parts a-c.arrow_forward
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