ELEMENTARY STATISTICS W/CONNECT >IP<
4th Edition
ISBN: 9781259746826
Author: Bluman
Publisher: MCG
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Chapter 2, Problem 2.3.23RE
To determine
To construct: A stem and leaf plot for the given data.
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3. Prove that, for any random variable X, the minimum of E(X - a)² is attained
for a = EX.
Proved
7. Cantelli's inequality. Let X be a random variable with finite variance, o².
(a) Prove that, for x ≥ 0,
P(X EX2x)≤
02
x² +0²
202
P(|X - EX2x)<≤
(b) Find X assuming two values where there is equality.
(c) When is Cantelli's inequality better than Chebyshev's inequality?
(d) Use Cantelli's inequality to show that med (X) - EX ≤ o√√3; recall,
from Proposition 6.1, that an application of Chebyshev's inequality yields
the bound o√√2.
(e) Generalize Cantelli's inequality to moments of order r 1.
The college hiking club is having a fundraiser to buy new equipment for fall and winter outings. The club is selling Chinese fortune cookies at a price of $2 per cookie. Each cookie contains a piece of paper with a different number written on it. A random drawing will determine which number is the winner of a dinner for two at a local Chinese restaurant. The dinner is valued at $32. Since fortune cookies are donated to the club, we can ignore the cost of the cookies. The club sold 718 cookies before the drawing. Lisa bought 13 cookies. Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What are Lisa's expected earnings? Round your answer to the nearest cent.
Chapter 2 Solutions
ELEMENTARY STATISTICS W/CONNECT >IP<
Ch. 2.1 - Ages of Presidents at Inauguration The data...Ch. 2.1 - List five reasons for organizing data into a...Ch. 2.1 - Name the three types of frequency distributions,...Ch. 2.1 - How many classes should frequency distributions...Ch. 2.1 - What are open-ended frequency distributions? Why...Ch. 2.1 - Prob. 5ECh. 2.1 - For Exercises 58, find the class boundaries,...Ch. 2.1 - Prob. 7ECh. 2.1 - For Exercises 58, find the class boundaries,...Ch. 2.1 - Prob. 9E
Ch. 2.1 - For Exercises 912, show frequency distributions...Ch. 2.1 - Prob. 11ECh. 2.1 - For Exercises 912, show frequency distributions...Ch. 2.1 - Prob. 13ECh. 2.1 - Trust in Internet Information A survey was taken...Ch. 2.1 - Eating at Fast Food Restaurants A survey was taken...Ch. 2.1 - Ages of Dogs The ages of 20 dogs in a pet shelter...Ch. 2.1 - Prob. 17ECh. 2.1 - Stories in the Worlds Tallest Buildings The number...Ch. 2.1 - Ages of Declaration of Independence Signers The...Ch. 2.1 - Salaries of Governors Here are the salaries (in...Ch. 2.1 - Charity Donations A random sample of 30 large...Ch. 2.1 - Unclaimed Expired Prizes The number of unclaimed...Ch. 2.1 - Prob. 23ECh. 2.1 - Consumption of Natural Gas Construct a frequency...Ch. 2.1 - Average Wind Speeds A sample of 40 large cities...Ch. 2.1 - Percentage of People Who Completed 4 or More Years...Ch. 2.1 - JFK Assassination A researcher conducted a survey...Ch. 2.1 - The Value of Pi The ratio of the circumference of...Ch. 2.2 - Selling Real Estate Assume you are a realtor in...Ch. 2.2 - Do Students Need Summer Development? For 108...Ch. 2.2 - Prob. 2ECh. 2.2 - Prob. 3ECh. 2.2 - Number of College Faculty The number of faculty...Ch. 2.2 - Railroad Crossing Accidents The data show the...Ch. 2.2 - NFL Salaries The salaries (in millions of dollars)...Ch. 2.2 - Prob. 7ECh. 2.2 - Costs of Utilities The frequency distribution...Ch. 2.2 - Air Pollution One of the air pollutants that is...Ch. 2.2 - Making the Grade The frequency distributions shown...Ch. 2.2 - Blood Glucose Levels The frequency distribution...Ch. 2.2 - Waiting Times The frequency distribution shows the...Ch. 2.2 - Construct a histogram, frequency polygon, and...Ch. 2.2 - Construct a histogram, frequency polygon, and...Ch. 2.2 - Construct a histogram, frequency polygon, and...Ch. 2.2 - Construct a histogram, frequency polygon, and...Ch. 2.2 - Prob. 17ECh. 2.2 - Protein Grams in Fast Food The amount of protein...Ch. 2.2 - Using the histogram shown here, do the following....Ch. 2.2 - Using the results from Exercise 19. answer these...Ch. 2.2 - Math SAT Scores Shown is an ogive depicting the...Ch. 2.3 - Applying the Concepts 23 Causes of Accidental...Ch. 2.3 - Prob. 1ECh. 2.3 - Worldwide Sales of Fast Foods The worldwide sales...Ch. 2.3 - Prob. 3ECh. 2.3 - Roller Coaster Mania The World Roller Coaster...Ch. 2.3 - Prob. 5ECh. 2.3 - Violent Crimes The number of all violent crimes...Ch. 2.3 - Prob. 7ECh. 2.3 - Valentines Day Spending The data show the average...Ch. 2.3 - Prob. 9ECh. 2.3 - Reasons We Travel The following data are based on...Ch. 2.3 - Prob. 11ECh. 2.3 - Colors of Automobiles The popular car colors are...Ch. 2.3 - Prob. 13ECh. 2.3 - Prob. 14ECh. 2.3 - Years of Experience The data show the number of...Ch. 2.3 - Commuting Times Fifty off-campus students were...Ch. 2.3 - Home Run Club There are 43 Major League baseball...Ch. 2.3 - Calories in Salad Dressings A listing of calories...Ch. 2.3 - Length of Major Rivers The data show the lengths...Ch. 2.3 - Math and Reading Achievement Scores The math and...Ch. 2.3 - State which type of graph (Pareto chart, time...Ch. 2.3 - State which graph (Pareto chart, time series...Ch. 2.3 - Prob. 23ECh. 2.3 - Prob. 24ECh. 2.3 - Cost of Milk The graph shows the increase in the...Ch. 2.3 - U.S. Population by Age The following information...Ch. 2.3 - Prob. 27ECh. 2.3 - Trip Reimbursements The average amount requested...Ch. 2 - How People Get Their News The Brunswick Research...Ch. 2 - Mens World Hockey Champions The United States won...Ch. 2 - BUN Count The blood urea nitrogen (BUN) count of...Ch. 2 - Wind Speed The data show the average wind speed...Ch. 2 - Prob. 2.1.5RECh. 2 - Ages of the Vice Presidents at the Time of Their...Ch. 2 - Prob. 2.2.7RECh. 2 - Find the relative frequency for the frequency...Ch. 2 - Construct a histogram, frequency polygon, and...Ch. 2 - Construct a histogram, frequency polygon, and...Ch. 2 - Construct a histogram, frequency polygon, and...Ch. 2 - Construct a histogram, frequency polygon, and...Ch. 2 - Prob. 2.3.13RECh. 2 - Calories of Nuts The data show the number of...Ch. 2 - Prob. 2.3.15RECh. 2 - AID: 1825 | 31/5/2018 16. Pet Care The data (in...Ch. 2 - Prob. 2.3.17RECh. 2 - Prob. 2.3.18RECh. 2 - Prob. 2.3.19RECh. 2 - Prob. 2.3.20RECh. 2 - Prob. 2.3.21RECh. 2 - Prob. 2.3.22RECh. 2 - Prob. 2.3.23RECh. 2 - Public Libraries The numbers of public libraries...Ch. 2 - Pain Relief The graph below shows the time it...Ch. 2 - Casino Payoffs The graph shows the payoffs...Ch. 2 - From the Data Bank located in Appendix B, choose...Ch. 2 - Prob. 2DACh. 2 - From the Data Bank, select at least 30 subjects...Ch. 2 - Prob. 4DACh. 2 - Using the data from Data Set XI in Appendix B,...Ch. 2 - Prob. 7DACh. 2 - Determine whether each statement is true or false....Ch. 2 - Prob. 2CQCh. 2 - Prob. 3CQCh. 2 - Frequency distributions can aid the researcher in...Ch. 2 - Determine whether each statement is true or false....Ch. 2 - Prob. 6CQCh. 2 - Determine whether each statement is true or false....Ch. 2 - Prob. 8CQCh. 2 - What are the boundaries for 8.68.8? a. 89 b....Ch. 2 - What graph should be used to show the relationship...Ch. 2 - Prob. 11CQCh. 2 - The three types of frequency distributions are...Ch. 2 - In a frequency distribution, the number of classes...Ch. 2 - Prob. 14CQCh. 2 - Data collected over a period of time can be...Ch. 2 - A statistical device used in exploratory data...Ch. 2 - On a Pareto chart, the frequencies should be...Ch. 2 - Housing Arrangements A questionnaire on housing...Ch. 2 - Housing Arrangements A questionnaire on housing...Ch. 2 - Prob. 20CQCh. 2 - Construct a histogram, a frequency polygon, and an...Ch. 2 - Coal Consumption The following data represent the...Ch. 2 - Construct a histogram, frequency polygon, and...Ch. 2 - Recycled Trash Construct a Pareto chart and a...Ch. 2 - Identity Thefts The results of a survey of 84...Ch. 2 - Needless Deaths of Children The New England...Ch. 2 - Prob. 27CQCh. 2 - Parking Meter Revenue In a small city the number...Ch. 2 - Prob. 29CQCh. 2 - The Great Lakes Shown are various statistics about...Ch. 2 - Teacher Strikes In Pennsylvania there were more...
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- The Honolulu Advertiser stated that in Honolulu there was an average of 659 burglaries per 400,000 households in a given year. In the Kohola Drive neighborhood there are 321 homes. Let r be the number of homes that will be burglarized in a year. Use the formula for Poisson distribution. What is the value of p, the probability of success, to four decimal places?arrow_forwardThe college hiking club is having a fundraiser to buy new equipment for fall and winter outings. The club is selling Chinese fortune cookies at a price of $2 per cookie. Each cookie contains a piece of paper with a different number written on it. A random drawing will determine which number is the winner of a dinner for two at a local Chinese restaurant. The dinner is valued at $32. Since fortune cookies are donated to the club, we can ignore the cost of the cookies. The club sold 718 cookies before the drawing. Lisa bought 13 cookies. Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What are Lisa's expected earnings? Round your answer to the nearest cent.arrow_forwardWhat was the age distribution of nurses in Great Britain at the time of Florence Nightingale? Thanks to Florence Nightingale and the British census of 1851, we have the following information (based on data from the classic text Notes on Nursing, by Florence Nightingale). Note: In 1851 there were 25,466 nurses in Great Britain. Furthermore, Nightingale made a strict distinction between nurses and domestic servants. Use a histogram and graph the probability distribution. Using the graph of the probability distribution determine the probability that a British nurse selected at random in 1851 would be 40 years of age or older. Round your answer to nearest thousandth. Age range (yr) 20–29 30–39 40–49 50–59 60–69 70–79 80+ Midpoint (x) 24.5 34.5 44.5 54.5 64.5 74.5 84.5 Percent of nurses 5.7% 9.7% 19.5% 29.2% 25.0% 9.1% 1.8%arrow_forward
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