INTRODUCTORY STATISTICS (LOOSELEAF)
3rd Edition
ISBN: 9780135163146
Author: Gould
Publisher: PEARSON
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Chapter 2, Problem 20SE
Car MPG The histograms show the miles per gallon (mpg) for two makes of cars: Acura and BMW. Compare the distributions. Which make has a higher mpg? Which make has more variation in mpg? (Source: Edmonds.com)
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2. Which of the following statements are (not) true?
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An U BRAUB
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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).
Chapter 2 Solutions
INTRODUCTORY STATISTICS (LOOSELEAF)
Ch. 2 - Pulse Rates The dotplot shown is for resting pulse...Ch. 2 - Glucose A dotplot of the glucose readings from 132...Ch. 2 - Pulse Rates The histogram shown is for pulse rates...Ch. 2 - Fast Food Calories The histogram shown is for...Ch. 2 - Pulse Rates (Example 1) The resting pulse rates...Ch. 2 - Post Office Customers A post office branch...Ch. 2 - Cereals The following dotplots show the number of...Ch. 2 - Coins’ Weights The weights of coins (in grams)...Ch. 2 - Sleep (Example 2) An instructor asks a class of...Ch. 2 - Parking Tickets A group of 80 drivers in a large...
Ch. 2 - Arm spans (Example 3) According to the ancient...Ch. 2 - Tuition The distribution of in-state annual...Ch. 2 - Pulse Rates (Example 4) From the histogram in...Ch. 2 - Fast Food Calories From the histogram shown in...Ch. 2 - BMI (Example 5) The histograms show the Body Mass...Ch. 2 - Triglycerides The histograms show triglyceride...Ch. 2 - Education (Example 6) In 2012, the General Social...Ch. 2 - Siblings The histogram shows the distribution of...Ch. 2 - Monthly Car Costs The histograms show the monthly...Ch. 2 - Car MPG The histograms show the miles per gallon...Ch. 2 - Matching Histograms Match each of the three...Ch. 2 - Matching Match each histogram given with the...Ch. 2 - Matching Match each description with the correct...Ch. 2 - Matching Match each description with the correct...Ch. 2 - Comparing Weights of Olympic Hockey and Soccer...Ch. 2 - Rents in San Francisco The data show monthly rents...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 - Ice Cream Preference (Example 8) Suppose a group...Ch. 2 - Prob. 40SECh. 2 - Gun Availability Pew Research conducted a survey...Ch. 2 - Entry-Level Education The Bureau of Labor...Ch. 2 - Obesity Among Adults (Example 9) Data on obesity...Ch. 2 - Fitness Among Adults Data on the percentage of...Ch. 2 - Internet Browsers The following table gives the...Ch. 2 - Commercial Radio The following table gives the...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 - Sleep The following table shows the first few...Ch. 2 - Majors The following table shows the first few...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 - Opinions on Nuclear Energy People were asked...Ch. 2 - Stem Cell Research People were asked whether they...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...Ch. 2 - Social Media Use The Pew Research Center documents...Ch. 2 - Social Media Use The Pew Research Center gathered...Ch. 2 - Choosing a Graph For each situation, describe the...Ch. 2 - Choosing a Graph For each situation, describe the...
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- 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
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