Consider the following information about passengers on a cruise ship on vacation: 38% check work e-mail,32% use a cell phone to stay connected to work, 25% bring a laptop with them on vacation, 23% both checkwork e-mail and use a cell phone to stay connected, and 51% neither check work e-mail nor use a cell phoneto stay connected nor bring a laptop. In addition 88% of those who bring a laptop also check work e-mailand 70% of those who use a cell phone to stay connected also bring a laptop. WithE = event that a traveller on vacation checks work e-mailC = event that a traveller on vacation uses a cell phone to stay connectedL = event that a traveller on vacation brought a laptopUse the given information to determine the following probabilities.(Round all answers to four decimal places.)(a) P(E)=(b) P(C) =(c) P(L) =(d) P(E and C) =

Answer: Using the given data, Event E = A traveler on vacation checks work e-mail Event C = A…

Answered: Consider the following information…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The following information regarding the ten richest Americans was reported in a recent issue of Forbes. Name Ranking Worth($Billions) Age Marital Status Source Gates, William 1 59.0 51 married Microsoft Buffett, Warren 2 52.0 77 married Berkshire Hathaway Adelson, Sheldon 3 28.0 74 married casinos, hotels Ellison, L. J. 4 26.0 63 married Oracle Brin, Sergey 5 18.5 34 married Google Page, Larry 5 18.5 34 single Google Kerkorian, Kirk 7 18.0 90 divorced investments, casinos Dell, Michael 8 17.2 42 married Dell Koch, Charles 9 17.0 71 married oil, commodities Koch, David 9 17.0 67 married oil, commodities a. How many elements are in the above data set? b. How many variables are in this data set? c. How many observations are in this data set? d. Which variables are categorical and which are quantitative?…
A health statistics agency in a certain country tracks the number of adults who have health insurance. Suppose according to the agency, the uninsured rates in a recent year are as follows: 5.2% of those under the age of 18, 12.9% of those ages 18-64, and 1.3% of those 65 and older do not have health insurance. Suppose 22.4% of people in the county are under age 18, and 62.3% are ages 18-64. (a) What is the probability that a randomly selected person in this country is 65 or older? 15.3 (b) Given that a person in this country is uninsured, what is the probability that the person is 65 or older? (Round your answer to three decimal places.) 0.023 X
3. Travelers who have no intention of showing up often fail to cancel their hotel reservations in a timely manner. These travelers are known, in the parlance of the hospitality trade, as "no-shows". To protect against no-shows and late cancellations, hotels invariably overbook rooms. A recent study examined the problems of over-booking rooms in the hotel industry. The following data, extracted from the study represent the daily numbers of late cancellations and no-shows for a random sample of 10 days at a hotel: 18, 16, 16, 16, 14, 18, 16, 18, 14, 19. e) Suppose the relative frequency distribution for the data is bell-shaped, then what percentage of observations are more than 18.2? (Hint: use Empirical rule) 2.5% 32% 16% 5%
By a small margin, Facebook remains the top choice of social media over all ages, with 29% using Facebook most often among those using social media sites. However, more visually oriented social networks such as Snapchat and Instagram continue to draw in younger audiences. When asked "Which one social networking brand do you use most often?" the results in the table show the top brands chosen by Americans aged 12-34 who currently use any social networking site or service. Social M edia Site Faceboo k Snapchat Instagra m Twitter Percentage That Use Most Often 29 28 26 6 20 (a) What is the sum of the percentages for these top social media sites? Give your answer as an exact number. Macmillan Learning top social media sites: What percent of Americans aged 12-34 use other social media sites most often? Give your answer as an exact number. other social media sites: do %
A health statistics agency in a certain country tracks the number of adults who have health insurance. Suppose according to the agency, the uninsured rates in a recent year are as follows: 5.2% of those under the age of 18, 12.8% of those ages 18–64, and 1.4% of those 65 and older do not have health insurance. Suppose 22.4% of people in the county are under age 18, and 61.9% are ages 18–64. (a) What is the probability that a randomly selected person in this country is 65 or older? (b) Given that a person in this country is uninsured, what is the probability that the person is 65 or older? (Round your answer to three decimal places.)
Suppose in a certain year, 68.2% of U.S. residents 15–24 years old, 71.9% of those 25–44, 60.6% of those 45–64, and 40.6% of those 65 or older used email. At that time, of the U.S. adult population (15 or older), 16.3% were 15–24 years old, 32.9% were 25–44, 32.3% were 45–64, and the rest were 65 or older. What percentage of adult email users were 15–24 years old? (Round your answer to the nearest 1%.)
5. Suppose that 68% of all adults think that airplanes would be safer places if airline passengers were banned from carrying on board any luggage, including purses, computers, and briefcases. An opinion poll plans to ask an SRS of 1023 adults about airplane safety. The proportion of the sample who think that airplanes would be safer if passengers were banned from carrying on board any luggage, including purses, computers, and briefcases, will vary if we take many samples from this same population. The sampling distribution of the sample proportion is approximately Normal with mean 0.68 and standard deviation about 0.015. Sketch this Normal curve and use it to answer the following question. Round to nearest tenth percent. What is the probability of getting a sample in which more than 70% think that airplanes would be safer if passengers were banned from carrying on board any luggage, including purses, computers, and briefcases?
As a destination marketing director, you found that TV executives used the guideline that 25% of the viewers were watching Fox cable network, 22% watching NBC and CBS, and 19% watching ABC. The remaining 12% were watching other cable networks such as CNN and MSNBC on a weekday night. A random sample of 500 viewers in the D.C. metro area last Tuesday night showed 109 homes were tuned in to the Fox station, 125 homes tuning in to NBC affiliate, 100 homes tuning in to CBS affiliate and 81 homes tuning in to ABC affiliate. 85 homes were watching CNN and NSNBC cable stations. At the 0.05 significant level, can we conclude that the guideline is still reasonable?
A samll town installed a Blue streetlights, in part, to help reduce crime in particular areas. The city collected the number of property crimes along nine randomly selected streets in the month before and after the Blue light installation, and claims that crime has been reduced.The number of crime data is shown in the table. No before Blue Light After Blue Light 1 17 14 2 25 20 3 10 14 4 14 12 5 16 8 6 34 35 7 32 27 8 21 18 9 14 12 a. Specify the competing hypotheses to test the s,all town's claim.b. Calculate the value of the relevant test statistic and find the critical value at the 5% significance level.c. Does the evidence support the small town's claim at the 5% significance level?
Medical researchers followed 6272 Swedish men for 30 years to see if there was any association between the amount of fish in their diet and prostate cancer. (“Fatty Fish Consumption and Risk of Prostate Cancer,” Lancet, June 2001). A summary of the data is given in the table below. Fish Consumption No Prostate Cancers Prostate Cancers Never/Seldom 110 14 Small part of diet 2420 201 Moderate part of diet 2769 209 Large part of diet 507 42 A) If a patient is randomly selected, what is the probability that he/she had prostate cancer given that fish was never or seldom a part of the diet? Round your answer to three decimal places and include the leading zero. B) If a patient is randomly selected, what is the probability that s/he ate fish as a large part of their diet given that they had prostate cancer. Round your answer to two decimal places and include the leading zero.
A sample of 349 students at a university is surveyed. The students are classified according to gender ("female" or "male"). They are also classified according to major ("biology", "business", "engineering", "mathematics", or "computer science"). The results are given in the contingency table below. Biology Business Engineering Mathematics Computer science Female 40 24 33 44 32 Male 29 35 32 37 43 What is the relative frequency of female students in the sample? Round your answer to two decimal places. 0 X S ?
3. A sociologist studying freshmen at a major university carried out a survey, asking (among other questions) how often students went out per week, how many hours they studied per day, and how many hours they slept at night. Students will often overstate the number of hours studied, because they do not want to admit to not studying enough. This type of distortion is called: a. false answer. b. non-response bias. c. undercoverage bias. d. response bias.

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