EBK BASIC BUSINESS STATISTICS
14th Edition
ISBN: 9780134685090
Author: STEPHAN
Publisher: VST
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Chapter 3, Problem 44PS
The following is a set of data from sample of
a. Compute the convenience.
b. Compute the coefficient of
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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.
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?
Chapter 3 Solutions
EBK BASIC BUSINESS STATISTICS
Ch. 3 - The following set of data is from sample of n=5:...Ch. 3 - The following set of data is from sample of n=6:...Ch. 3 - The following set of data is from sample of n=7:...Ch. 3 - The following set of data is from sample of n=5:...Ch. 3 - Suppose that the rate of return for a particular...Ch. 3 - Suppose that the rate of return for a particular...Ch. 3 - Wired a magazine that delivers a glimpse into the...Ch. 3 - The operation manager of a plant that manufactures...Ch. 3 - Accounting to the U.S Census Bureau (census....Ch. 3 - The files Mobile Speed contain the overall...
Ch. 3 - The file Airport Rating contains the rating of...Ch. 3 - The annual NFL Super Bowl is the most widely...Ch. 3 - The AccountingPartners contains the number of...Ch. 3 - The file MobileCommerce contain the following...Ch. 3 - Prob. 15PSCh. 3 - Prob. 16PSCh. 3 - A bank branch located in a commercial district of...Ch. 3 - Suppose that another bank branch, location in a...Ch. 3 - Prob. 19PSCh. 3 - Prob. 20PSCh. 3 - The file Indices contains the total rate of return...Ch. 3 - In 2013 through 2016, the value of precious metals...Ch. 3 - Using the three-year return percentage variable in...Ch. 3 - Prob. 24PSCh. 3 - Using the three-year return percentage variable in...Ch. 3 - Prob. 26PSCh. 3 - The following is a set of data from a sample of...Ch. 3 - The following is a set of data from a sample of...Ch. 3 - The following is a set of data from a sample of...Ch. 3 - The following is a set of data from a sample of...Ch. 3 - Prob. 31PSCh. 3 - The file MobileCommerce contains the following...Ch. 3 - Prob. 33PSCh. 3 - Prob. 34PSCh. 3 - The file CD Rate contains the yields for one-year...Ch. 3 - A bark branch located in a commercial district of...Ch. 3 - The following is a set of data for a population...Ch. 3 - The following is a set of data for a population...Ch. 3 - The file McDonaldsStores contains the number of...Ch. 3 - Consider a population of 1.024 mutual funds that...Ch. 3 - Prob. 41PSCh. 3 - Prob. 42PSCh. 3 - Thirty companies comprise the DJIA Just how big...Ch. 3 - The following is a set of data from sample of n=11...Ch. 3 - A study of 267 college students investigated the...Ch. 3 - The file Cereals lists the calories and sugar. in...Ch. 3 - Movie companies need to predict the gross receipts...Ch. 3 - The fie Mobile Speed contains the overall download...Ch. 3 - A Pew Research Center survey found a noticeable...Ch. 3 - What are the properties of a set of numerical...Ch. 3 - What is meant by the property of central tendency?Ch. 3 - What are the differences among the mean, median,...Ch. 3 - How do you interpret the first quartile, median,...Ch. 3 - What is meant by the property of variation?Ch. 3 - What does the Z score measure?Ch. 3 - What are the differences among the various...Ch. 3 - How does the empirical rule help explain the ways...Ch. 3 - How do the empirical rule and the Chebyshev rule...Ch. 3 - What is meant by the property of shape?Ch. 3 - What is the difference between skewness and...Ch. 3 - What is the difference between the arithmetic mean...Ch. 3 - How do the covariance and the coefficient of...Ch. 3 - The American Society for Quality (ASQ) conducted a...Ch. 3 - Prob. 64PSCh. 3 - One of the 111801 measures of the quality of...Ch. 3 - Call centers today play an important role in...Ch. 3 - The financial services call center also monitors...Ch. 3 - Prob. 68PSCh. 3 - A quality characteristic of interest for a...Ch. 3 - The manufacturer of Boston and Vermont asphalt...Ch. 3 - Prob. 71PSCh. 3 - The file Protein contains calories. protein. and...Ch. 3 - What was the mean price of a room at two-star,...Ch. 3 - The file Property Taxes contains the property...Ch. 3 - Have you wondered how Internet connection speed...Ch. 3 - Prob. 76PSCh. 3 - Prob. 77PSCh. 3 - Prob. 78PSCh. 3 - You are planning to study for your statistics...Ch. 3 - The file DomesticBeer contains the percentage...
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- 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.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_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
- There are 4 radar stations and the probability of a single radar station detecting an enemy plane is 0.55. Make a histogram for the probability distribution.arrow_forwardshow all stepsarrow_forwardMost people know that the probability of getting a head when you flip a fair coin is . You want to use the relative frequency of the event to show that the probability is . How many times should you simulate flipping the coin in the experiment? Would it be better to use 300 trials or 3000 trials? Explain.arrow_forward
- The qualified applicant pool for eight management trainee positions consists of ten women and six men. How many different groups of applicants can be selected for the positionsarrow_forwardYou want to make a salad from whatever vegetable you have in the fridge. You have seven different tomatoes. There are 2 red tomatoes, 4 yellow tomatoes, and one black tomato in the fridge. You have three different bell peppers. There is 1 red pepper, 1 yellow pepper, and 1 green pepper. What is the probability of randomly choosing a vegetable and getting a red tomato, and a green pepper? Round your answer to four decimal places.arrow_forwarduppose automobile insurance companies gave annual premiums for top-rated companies in several states. The figure below shows box plots for the annual premium for urban customers in three states. Which state offers the lowest premium? Which state offers the highest premium?arrow_forward
- Wing Foot is a shoe franchise commonly found in shopping centers across the United States. Wing Foot knows that its stores will not show a profit unless they gross over $940,000 per year. Let A be the event that a new Wing Foot store grosses over $940,000 its first year. Let B be the event that a store grosses over $940,000 its second year. Wing Foot has an administrative policy of closing a new store if it does not show a profit in either of the first two years. Assume that the accounting office at Wing Foot provided the following information: 58% of all Wing Foot stores show a profit the first year; 72% of all Wing Foot store show a profit the second year (this includes stores that did not show a profit the first year); however, 86% of Wing Foot stores that showed a profit the first year also showed a profit the second year. Compute P(B|Ac). Round your answer to the nearest hundredth.arrow_forwardYou draw two cards from a standard deck of 52 cards, but before you draw the second card, you put the first one back and reshuffle the deck. If you get a3on the first card, find the probability of drawing a 3 for the second card.arrow_forwardDo bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for the Vanguard Total Stock Index (all Stocks). Let y be a random variable representing annual return for the Vanguard Balanced Index (60% stock and 40% bond). For the past several years, assume the following data. Compute the coefficient of variation for each fund. Round your answers to the nearest tenth. x: 14 0 37 21 35 23 24 -14 -14 -17 y: 8 -2 29 17 22 17 17 -2 -3 -8arrow_forward
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