EBK BASIC BUSINESS STATISTICS
14th Edition
ISBN: 9780134685090
Author: STEPHAN
Publisher: VST
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Chapter 4, Problem 49PS
A student has seven books that she would like to place in her backpack. However, there is room for only four books. Regardless of the arrangement, how many ways are there of placing four books into the backpack?
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Chapter 4 Solutions
EBK BASIC BUSINESS STATISTICS
Ch. 4 - Three coins are tossed. a. Give an example of a...Ch. 4 - An urn contain 12 red balls and 8 white balls. One...Ch. 4 - Consider the following contingency table: What is...Ch. 4 - Consider the following contingency table: What is...Ch. 4 - For each of the following, indicate whether the...Ch. 4 - For each of the following, state whether the...Ch. 4 - Which of the following events occur with a...Ch. 4 - Do Millennials or Gen-Xers feel more tense or...Ch. 4 - Referring to the contingency table in Problem 4.8,...Ch. 4 - How will markers change their social media use in...
Ch. 4 - Referring to the contingency table in Problem...Ch. 4 - Have the gains in student learning attributed to...Ch. 4 - Do Generation X and Boomers differ in how they use...Ch. 4 - A survey of 1,520 Americans, adults asked, “Do...Ch. 4 - Each year ratings are compiled concerning the...Ch. 4 - Consider the following contingency table: What is...Ch. 4 - Consider the following contingency table: What is...Ch. 4 - If P(AandB)=0.4andP(B)=0.8,findP(AB).Ch. 4 - Prob. 19PSCh. 4 - ...Ch. 4 - Do Millennials or Gen-Xers feel more tense...Ch. 4 - How will marketers change their social media use...Ch. 4 - Do generation X and Boomers differ in how they use...Ch. 4 - Have the grains in student learning attributed to...Ch. 4 - A survey of 1,520 Americans adults asked “Do you...Ch. 4 - Each year, rating are compiled concerning the...Ch. 4 - In 42 of the 66 years from 1950 through 2010 (in...Ch. 4 - A standard deck of cards is being used to play a...Ch. 4 - A box of nine iPhone 7 cellphones contains two red...Ch. 4 - ...Ch. 4 - ...Ch. 4 - In Example 4.10 to suppose that the probability...Ch. 4 - Big Commerce launched a study to analyze modern...Ch. 4 - Olive Construction Company is determining whether...Ch. 4 - The 2016 Global Information Security Workforce...Ch. 4 - The editor of a textbook published company is...Ch. 4 - A municipal bond service has three rating...Ch. 4 - If there are 10 multiple-choice question on an...Ch. 4 - A lock on a bank vault consists of three dials,...Ch. 4 - a. If a coin is tossed seven times, how many...Ch. 4 - A particular brand of women’s jeans is available...Ch. 4 - Prob. 42PSCh. 4 - A team is being formed that includes four...Ch. 4 - In the National Basketball League there are five...Ch. 4 - Referring to Problem 4.44 how many different...Ch. 4 - A gardener has six rows available in his vegetable...Ch. 4 - How many different ways can a senior project...Ch. 4 - Four member of a group of 10 people are to be...Ch. 4 - A student has seven books that she would like to...Ch. 4 - A daily lottery is conducted in which 2 winning...Ch. 4 - There are 15 exercise bikes in a fitness store...Ch. 4 - What are the differences between a priori...Ch. 4 - What is the difference between a simple event and...Ch. 4 - How can you use the general addition rule to find...Ch. 4 - What is the difference between mutually exclusive...Ch. 4 - How does conditional probability relate to the...Ch. 4 - How does the multiplication rule differ for events...Ch. 4 - How can you use Bayes theorem in light of new...Ch. 4 - In Bayes’ theorem, how does the prior...Ch. 4 - What is the difference between Counting Rule 1 and...Ch. 4 - What is the difference between a permutation and...Ch. 4 - A survey by Accenture indicated that 64% of...Ch. 4 - Chartered Institute of personnel and Development...Ch. 4 - To better understand the website builder market,...Ch. 4 - Content Marketing institute provides insight on...Ch. 4 - The CMO survey collects and dissemination the...
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- 5. Let X be a positive random variable with finite variance, and let A = (0, 1). Prove that P(X AEX) 2 (1-A)² (EX)² EX2arrow_forward6. Let, for p = (0, 1), and xe R. X be a random variable defined as follows: P(X=-x) = P(X = x)=p. P(X=0)= 1-2p. Show that there is equality in Chebyshev's inequality for X. This means that Chebyshev's inequality, in spite of being rather crude, cannot be improved without additional assumptions.arrow_forward4. Prove that, for any random variable X, the minimum of EIX-al is attained for a = med (X).arrow_forward
- 8. Recall, from Sect. 2.16.4, the likelihood ratio statistic, Ln, which was defined as a product of independent, identically distributed random variables with mean 1 (under the so-called null hypothesis), and the, sometimes more convenient, log-likelihood, log L, which was a sum of independent, identically distributed random variables, which, however, do not have mean log 1 = 0. (a) Verify that the last claim is correct, by proving the more general statement, namely that, if Y is a non-negative random variable with finite mean, then E(log Y) log(EY). (b) Prove that, in fact, there is strict inequality: E(log Y) < log(EY), unless Y is degenerate. (c) Review the proof of Jensen's inequality, Theorem 5.1. Generalize with a glimpse on (b).arrow_forward3. Prove that, for any random variable X, the minimum of E(X - a)² is attained for a = EX. Provedarrow_forward7. 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.arrow_forward
- 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_forwardThe 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_forward
- What 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_forwardThere 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_forward
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