Introductory Statistics (2nd Edition)
2nd Edition
ISBN: 9780321978271
Author: Robert Gould, Colleen N. Ryan
Publisher: PEARSON
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Chapter 2, Problem 15SE
Commute Times (Example 5) Use the histograms to compare the times spent commuting for community college students who drive to school in a car with the times spent by those who take the bus. Which group typically has the longer commute time? Which group has the more variable commute time?
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17. Suppose that X1, X2,..., Xn are random variables, such that E|xk| < ∞ for
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Chapter 2 Solutions
Introductory Statistics (2nd Edition)
Ch. 2 - Body Mass Index The Dotplot shows body mass index...Ch. 2 - Cholesterol Levels The dotplot shows the...Ch. 2 - Ages of CEOs The histogram shows frequencies for...Ch. 2 - Sleep Hours The relative frequency histogram shows...Ch. 2 - Televisions (Example 1) The histogram shows the...Ch. 2 - Exercise Hours The histogram shows the...Ch. 2 - Shoes The graph is a dotplot of the number of...Ch. 2 - Condo Rental The dotplot shows rental prices per...Ch. 2 - Speeding Tickets (Example 2) A teacher asks 90...Ch. 2 - Breakfast Predict the shape of the distribution of...
Ch. 2 - Arm spans (Example 3) According to the ancient...Ch. 2 - Tuition The distribution of in-state annual...Ch. 2 - Ages of CEOs (Example 4) From the histogram in...Ch. 2 - Sleep Hours From the histogram shown in Exercise...Ch. 2 - Commute Times (Example 5) Use the histograms to...Ch. 2 - Spending on Clothes The histograms show the...Ch. 2 - Education (Example 6) In 2012, the General Social...Ch. 2 - Siblings The histogram shows the distribution of...Ch. 2 - Years of Education The GSS asked people how many...Ch. 2 - Hours Worked In the 2012 General Social Survey,...Ch. 2 - Matching Histograms match each of the following...Ch. 2 - Matching Histograms Match each of the following...Ch. 2 - Matching Match each description with the correct...Ch. 2 - Matching Match each description with the correct...Ch. 2 - Eating Out and jobs College students Jacqueline...Ch. 2 - Comparing Weights of Baseball and Soccer Players...Ch. 2 - Textbook Prices The table shows prices of 50...Ch. 2 - SAT scores The following table shows a random...Ch. 2 - Animal Longevity The following table in Exercise...Ch. 2 - Animal Gestation Periods The accompanying table...Ch. 2 - Tax Rate A StatCrunch survey asked people what...Ch. 2 - Pets A StatCrunch survey asked people whether they...Ch. 2 - Law School Tuition Data are shown for the cost of...Ch. 2 - Text Messages Recently, 115 users of StatCrunch...Ch. 2 - Beer, Calories Data are available on the number of...Ch. 2 - Beer, Alcohol Data are available on the percent...Ch. 2 - Changing Multiple-Choice Answers When Told Not to...Ch. 2 - Preventable Deaths According to the World Health...Ch. 2 - U.S. Distribution of wealth (Example 8) Michael...Ch. 2 - Education The graph shows the education of...Ch. 2 - Political Party Affiliation: Men The 2012 General...Ch. 2 - Political Party Affiliation Women The 2012 General...Ch. 2 - Prob. 43SECh. 2 - Retail Car Sales With gas prices rising, as they...Ch. 2 - Majors The table gives information on college...Ch. 2 - Adoptions The table gives information on the top...Ch. 2 - Garage The accompanying graph shows the...Ch. 2 - Body Image A student has gathered data on...Ch. 2 - Pie Chart of Sleep Hours The pie chart reports the...Ch. 2 - Age and Gender The following graph shows the ages...Ch. 2 - Musicians Survey: StatCrunch Graph The...Ch. 2 - Cell Phone Use Refer to the accompanying bar...Ch. 2 - Television The table shows the first few entries...Ch. 2 - Job The table shows the job categories for some...Ch. 2 - Hormone Replacement Therapy The use of the drug...Ch. 2 - E-Music The bar graph shows information reported...Ch. 2 - Hormone Replacement Therapy Again The following...Ch. 2 - Holding Your Breath A group of students held their...Ch. 2 - Global Temperatures The histograms show the...Ch. 2 - Employment after Law School Accredited law schools...Ch. 2 - Position for Breathing The graph shows the results...Ch. 2 - Opinions on Global Warming People were asked...Ch. 2 - Create a dotplot that has at least 10 observations...Ch. 2 - Create a dotplot that has at least 10 observations...Ch. 2 - Traffic Cameras College students Jeannette Mujica,...Ch. 2 - Ideal Weight Thirty-nine students (26 women and 13...Ch. 2 - MPH The graphs show the distribution of...Ch. 2 - Shoe Sizes The graph shows shoe sizes for men and...Ch. 2 - CEO Salaries Predict the shape of the distribution...Ch. 2 - Cigarettes A physician asks all of his patients to...Ch. 2 - Changing Multiple-Choice Answers When Told to Do...Ch. 2 - ER Visits for Injuries The graph shows the rates...
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- 2. Which of the following statements are (not) true? lim sup{An U Bn} 818 lim sup{A, B} 818 lim inf{An U Bn} 818 818 lim inf{A, B} An An A, Bn- A, BnB →B = = = lim sup A, U lim sup Bn; 818 818 lim sup A, lim sup Bn; 818 81U lim inf A, U lim inf Bn; 818 818 lim inf A, lim inf Bn; n→X 818 An U BRAUB as no; An OBRANB as n→∞.arrow_forwardThroughout, 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).arrow_forward16. 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).arrow_forward
- 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 aarrow_forwardExercise 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_forward
- 8- 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_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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