Basic Business Statistics, Student Value Edition
14th Edition
ISBN: 9780134685113
Author: Mark L. Berenson, David M. Levine, David F. Stephan, Kathryn Szabat
Publisher: PEARSON
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Chapter 2, Problem 97PS
a.
To determine
Construct the ordered array.
b.
To determine
Construct a percentage histogram.
c.
To determine
Conclude about the differences in the cigarette tax among the states.,
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7. (a) Show that if A,, is an increasing sequence of measurable sets with limit A =
Un An, then P(A) is an increasing sequence converging to P(A).
(b) Repeat the same for a decreasing sequence.
(c) Show that the following inequalities hold:
P (lim inf An) lim inf P(A) ≤ lim sup P(A) ≤ P(lim sup A).
(d) Using the above inequalities, show that if A, A, then P(A) + P(A).
19. (a) Define the joint distribution and joint distribution function of a bivariate ran-
dom variable.
(b) Define its marginal distributions and marginal distribution functions.
(c) Explain how to compute the marginal distribution functions from the joint
distribution function.
18. Define a bivariate random variable. Provide an
example.
Chapter 2 Solutions
Basic Business Statistics, Student Value Edition
Ch. 2 - A categorical variable has three categories, with...Ch. 2 - The following data represent the responses to two...Ch. 2 - The following table, stored in Smartphones Sales,...Ch. 2 - The Consumer Financial Protection Bureau reports...Ch. 2 - In addition to the impact of Big Data, what...Ch. 2 - This table represents the summer power-generating...Ch. 2 - Timetric’s 2016 survey of insurance...Ch. 2 - A survey of 1,520 Americans adults asked “Do you...Ch. 2 - A study of selected Kickstarter projects showed...Ch. 2 - Do special recommendations increase ad...
Ch. 2 - Construct an ordered array, given the following...Ch. 2 - Construct an ordered array, given the following...Ch. 2 - Planning and preparing for the unexpected,...Ch. 2 - Data was collected on salaries of compliance...Ch. 2 - The file NBACost contains the total cost ($ ) for...Ch. 2 - The file Utility contains the following data about...Ch. 2 - How much time do commuters living in or near...Ch. 2 - How do the average credit scores of people living...Ch. 2 - One operation of a mill is to cut pieces of steel...Ch. 2 - Call centers today play an important role in...Ch. 2 - The financial service call centre in problem 2.20...Ch. 2 - The file Bulbs contains the life (in hours) of a...Ch. 2 - The file Drink Contains the following data for the...Ch. 2 - A survey of online shoppers revealed that in 2015...Ch. 2 - How do college students spend their day? The 2016...Ch. 2 - The Energy Information Administration reported the...Ch. 2 - The Consumer Financial Protection Bureau reports...Ch. 2 - The following table indicates the percentage of...Ch. 2 - Timetric’s 2016 survey of insurance...Ch. 2 - A survey of 1,520 American adults asked “Do you...Ch. 2 - A study of selected Kickstarter projects showed...Ch. 2 - Do special recommendations increase ad...Ch. 2 - Construct a stern-and-leaf display, given the...Ch. 2 - Construct an ordered array, given the following...Ch. 2 - The following is a stern-and0-leaf display...Ch. 2 - The file NBACost contains the total cost in$ for...Ch. 2 - The file MobileSpeed contains the overall download...Ch. 2 - The file Utility contains the following data about...Ch. 2 - As player salaries have increases, the cost of...Ch. 2 - The following histogram and cumulative percentage...Ch. 2 - How much time do Americans living in cities spend...Ch. 2 - How do the average credit scores of people living...Ch. 2 - One operation of a mill is to cut pieces of steel...Ch. 2 - Call centers today play an important role in...Ch. 2 - The financial service call center in problem 2.44...Ch. 2 - The file Bulbs contains the life (in hours) of a...Ch. 2 - The data stored in Drink represents the amount of...Ch. 2 - The following is a set of data from a sample of...Ch. 2 - The following is a series of annual sales...Ch. 2 - Movie companies need to predict the gross receipts...Ch. 2 - Data were collected on the typical cost of dining...Ch. 2 - The file Mobile contains the overall download and...Ch. 2 - A Pew Research Center survey found a noticeable...Ch. 2 - How have stocks performed in the past? The...Ch. 2 - The file NewHomeSales contains the number of new...Ch. 2 - The file Movie Attendance 16 contains the yearly...Ch. 2 - The Super Bowl is a big viewing event watched by...Ch. 2 - Using the sample of retirement funds stored in...Ch. 2 - Using the sample of retirement funds stored in...Ch. 2 - Prob. 60PSCh. 2 - Using the sample of retirement funds stored in...Ch. 2 - Prob. 62PSCh. 2 - Using the sample of retirement funds stored in...Ch. 2 - Prob. 64PSCh. 2 - Using the sample of retirement funds stored in...Ch. 2 - Prob. 66PSCh. 2 - Prob. 67PSCh. 2 - Prob. 68PSCh. 2 - Prob. 71PSCh. 2 - Prob. 72PSCh. 2 - Examine the following visualization, adapted from...Ch. 2 - Prob. 75PSCh. 2 - Prob. 76PSCh. 2 - How do histograms and polygons differ in...Ch. 2 - Why would you construct a summary table?Ch. 2 - What are the advantages and disadvantage of using...Ch. 2 - Compare and contrast the bar chart for categorical...Ch. 2 - What is the difference between a time-series plot...Ch. 2 - Why is it said that the main feature of a Pareto...Ch. 2 - What are the three different ways to break down...Ch. 2 - How can a multidimensional table differ from a...Ch. 2 - What type of insights can you gain from a...Ch. 2 - Prob. 86PSCh. 2 - What is the difference between a time-series plot...Ch. 2 - The following table shown in the TextbookCosts...Ch. 2 - The following table represents the market share...Ch. 2 - B2B marketers in North America were surveyed about...Ch. 2 - The owner of a restaurant that services...Ch. 2 - Suppose that the owner of the restaurant in...Ch. 2 - The following data represents the pounds per...Ch. 2 - The Air Travel Consumer Report, a monthly product...Ch. 2 - One of the major measures of the quality of...Ch. 2 - The file DomesticBeer Contains the percentage...Ch. 2 - Prob. 97PSCh. 2 - The file CDRate contains the yields for one-year...Ch. 2 - The file CEO 2016 includes the total compensation...Ch. 2 - Prob. 100PSCh. 2 - What was the average price of a room at two-star,...Ch. 2 - The file Protein contains calorie and cholesterol...Ch. 2 - The file Natural Gas contains the U.S. monthly...Ch. 2 - The data stored in Drink represent the amount of...Ch. 2 - Prob. 105PSCh. 2 - A/B testing allows business to test a new design...Ch. 2 - Referring to the results from Problem 2.100 on...
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- 6. (a) Let (, F, P) be a probability space. Explain when a subset of ?? is measurable and why. (b) Define a probability measure. (c) Using the probability axioms, show that if AC B, then P(A) < P(B). (d) Show that P(AUB) + P(A) + P(B) in general. Write down and prove the formula for the probability of the union of two sets.arrow_forward21. Prove that: {(a, b), - sa≤barrow_forward10. (a) Define the independence of sets A, B, C. (b) Provide an example where A, B, C are pairwise independent but not mutually independent. (c) Give an example where P(AnBnC) = P(A)P(B)P(C), but the sets are not pairwise independent.arrow_forward23. State Bayes' formula. Jaching R. Machine.arrow_forward(d) Show that A, and A' are tail events.arrow_forward11. (a) Define the (mathematical and conceptual) definition of conditional probability P(A|B). (b) Explain the product law in conditional probability. (c) Explain the relation between independence and the conditional probability of two sets.arrow_forward25. Show that if X is a random variable and g(.) is a Borel measurable function, then Y = g(X) is a random variable.arrow_forward24. A factory produces items from two machines: Machine A and Machine B. Machine A produces 60% of the total items, while Machine B produces 40%. The probability that an item produced by Machine A is defective is P(D|A)=0.03. The probability that an item produced by Machine B is defective is P(D|B) = 0.05. (a) What is the probability that a randomly selected product be defective, P(D)? (b) If a randomly selected item from the production line is defective, calculate the probability that it was produced by Machine A, P(A|D).arrow_forward13. Let (, F, P) be a probability space and X a function from 2 to R. Explain when X is a random variable.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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