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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Textbook Question
Chapter 2, Problem 9PS
A study of selected Kickstarter projects showed that overall a majority were successful, achieving their goal and raising, at a minimum, the targeted amounts. In an effort to identify project types that influence success, selected projects were subdivided into project categories (Film & video, Games, music, and Technology). The results are as follows:
a. Construct
b. Which type of percentage– row, column, or total–do you think is most information for these data? Explain.
c. What conclusions concerning the pattern of successful Kickstarter projects can you reach?
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Throughout, A, B, (An, n≥ 1), and (Bn, n≥ 1) are subsets of 2.
1. Show that
AAB (ANB) U (BA) = (AUB) (AB),
Α' Δ Β = Α Δ Β,
{A₁ U A2} A {B₁ U B2) C (A1 A B₁}U{A2 A B2).
16. Show that, if X and Y are independent random variables, such that E|X|< ∞,
and B is an arbitrary Borel set, then
EXI{Y B} = EX P(YE B).
Proposition 1.1 Suppose that X1, X2,... are random variables. The following
quantities are random variables:
(a) max{X1, X2) and min(X1, X2);
(b) sup, Xn and inf, Xn;
(c) lim sup∞ X
and lim inf∞ Xn-
(d) If Xn(w) converges for (almost) every w as n→ ∞, then lim-
random variable.
→ Xn is a
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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- Exercise 4.2 Prove that, if A and B are independent, then so are A and B, Ac and B, and A and B.arrow_forward8. Show that, if {Xn, n ≥ 1) are independent random variables, then sup X A) < ∞ for some A.arrow_forward8- 6. Show that, for any random variable, X, and a > 0, 8 心 P(xarrow_forward15. This problem extends Problem 20.6. Let X, Y be random variables with finite mean. Show that 00 (P(X ≤ x ≤ Y) - P(X ≤ x ≤ X))dx = E Y — E X.arrow_forward(b) Define a simple random variable. Provide an example.arrow_forward17. (a) Define the distribution of a random variable X. (b) Define the distribution function of a random variable X. (c) State the properties of a distribution function. (d) Explain the difference between the distribution and the distribution function of X.arrow_forward16. (a) Show that IA(w) is a random variable if and only if A E Farrow_forward15. Let 2 {1, 2,..., 6} and Fo({1, 2, 3, 4), (3, 4, 5, 6}). (a) Is the function X (w) = 21(3, 4) (w)+711.2,5,6) (w) a random variable? Explain. (b) Provide a function from 2 to R that is not a random variable with respect to (N, F). (c) Write the distribution of X. (d) Write and plot the distribution function of X.arrow_forward20. Define the o-field R2. Explain its relation to the o-field R.arrow_forward7. Show that An → A as n→∞ I{An} - → I{A} as n→ ∞.arrow_forward7. (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).arrow_forward19. (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.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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