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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Data from the Bureau of Labor Statistics indicates that in a certain month, 35.7% of the labor force had a high school diploma or fewer years of education, 29.4% had some college or an associate's degree, and 34.9% had a bachelor's degree or more education. Of those with a high school diploma or fewer years of education, 5.5% were unemployed. Of those with some college or an associate's degree, 4.4% were unemployed, and of those with a bachelor's degree or more education, 2.4% were unemployed. Find the probability that a randomly chosen labor force participant has some college or an associate's degree given that he or she is unemployed. 12 The probability is 0 (Type an integer or decimal rounded to three decimal places as needed.)
According to Inc.com, 71% of job seekers used social media in their job search in 2018. Many believe this number is inflated by the proportion of 22- to 30-year-old job seekers who use social media in their job search. A survey of 22- to 30 -year-old job seekers showed that 310 of the 370 respondents use social media in their job search. In addition, 275 of the 370 respondents indicated they have electronically submitted a resume to an employer.
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 recent health survey 500 single young men yielded the following information: 385 were a member of a sports club, 155 were vegetarian, and 30 declined to answer the survey’s questions. What percent of the men were both members of a sports club and vegetarian? Draw a Venn diagram to illustrate the result of the survey.
In recent years, many states have enacted tougher voter identification laws requiring a government issued photo ID. Proponents claim that these laws are necessary to reduce voter fraud. Opponents claim that voter fraud is rare and that since as many as 11% of eligible voters do not have the required identification, these tougher laws will discourage millions of minorities and low-income Americans from voting. The Washington Post conducted a national poll (July 7-19, 2012) and found that 1558 out of 2064 adults supported the tougher voter ID laws. 1)Construct a 95% confidence interval for the proportion of adults who approve of tougher voter ID laws. Document your work in the space provided below. Document how you computed the margin of error and the confidence interval in the space provided below. Round all numbers to 4 decimal places. 2)Is it likely that three-fourths of adults approve of these new laws?
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. 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. c) Count the number of measurements that actually fall within the interval(-28, +2s) and express the interval count as a percentage of total number of measurements. at least 75% 100% 68% 95%
Sierra College students enrolled in an online Elementary Statistics course were asked to participate in an anonymous onlne survey. The survey asked the students "Which type of device will you primarily use to access your online course in Canvas?". Of the 152 students who answered this question, 20 responded "a desktop computer", 121 responded "a laptop computer", 6 responded "a smartphone", and 5 responded "a tablet". The Sierra College Mathematics Department believes that less than 5% of students enrolled in an online Elementary Statistics course primarily uses a smartphone to access their online course in Canvas. Use the data collected in the survey to conduct a hypothesis testing procedure to test this belief. What conclusion should be reached according to the results of this hypothesis test?
Assume that 135 surveys are completed. Of those surveyed, 61 responded positively to effectiveness, 65 responded positively to side effects, and 63 responded positively to cost. Also, 26 responded positively to both effectiveness and side effects, 29 to effectiveness and cost, 26 to side effects and cost, and 16 to none of the items. How many responded positively to all three?

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