9Of the travelers arriving at a small airport, 50% fly on major airlines, 20% fly on privately owned planes, and the remainder fly on commercially owned planes notbelonging to a major airline. Of those traveling on major airlines, 50% are traveling for business reasons, whereas 60% of those arriving on private planes and80% of those arriving on other commercially owned planes are traveling for business reasons. Suppose that we randomly select one person arriving at this airport.(a) What is the probability that the person is traveling on business?(b) What is the probability that the person is traveling for business on a privately owned plane?(c) What is the probability that the person arrived on a privately owned plane, given that the person is traveling for business reasons? (Round your answers tofour decimal places.)(d) What is the probability that the person is traveling on business, given that the person is flying on a commercially owned plane?

a) 0.61b) 0.12c) 0.1967d) 0.80Explanation:We have the given probabilities:I. Travelers at small…

Answered: 9 Of the travelers arriving at a small…

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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A report describes a survey of 251 adult Americans. Participants in the survey were asked how often they disinfect their phone and were asked to respond with one of the following categories: more than once a week, once a week, every other, week, every three weeks, or less often than every three weeks. For this group, 9% responded more than once a week, 52% responded once a week, 26% responded every other week, 6% responded every three weeks, and 7% responded less often than every three weeks. Fill in the table below with the relative frequency distributions. How Often? Relative Frequency More than once a week Once a week Every other week Every three weeks Less often than every three weeks
A friend of mine is giving a dinner party. His current wine supply includes 7 bottles of zinfandel, 11 of merlot, and 13 of cabernet (he only drinks red wine), all from different wineries. (a) If he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? (b) If 6 bottles of wine are to be randomly selected from the 31 for serving, how many ways are there to do this? (c) If 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? (d) If 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (Round your answer to three decimal places.) (e) If 6 bottles are randomly selected, what is the probability that all of them are the same variety? (Round your answer to three decimal places.)
A group of fifteen tourists is stranded in a city with four hotels of the same class. Each of the hotels has enough room available to accommodate the fifteen tourists. The group's guide, who has a good working relationship with each of the four hotels, assigns the tourists to the hotels as follows. First, he randomly determines how many are to go to hotel A, then how many of the remaining tourists are to go to hotel B, and then how many are to go to hotel C. All remaining tourists are sent to hotel D. Note that each stage of the assignment the guide draws at random a number between zero and the number of tourists left. What is the probability that all four hotels receive guests from the group?
1) The PGA (Professional Golfers Association) performed a survey of 1,000 golf fans. 30% play once per month, 40% play once per week, and 30% play more than once per week. Agolfer who plays once per week is four times more likely than a golfer who plays once per month to have scored below par in a round in the past year, but half as likely as one who plays more than once per week. A randomly selected golfer from the survey has scored below par in a round in the last year. What is the probability that this golfer plays once per month?
Suppose a computer company has manufacturing plants in three states. 50% of its computers are manufactured in Califomia, and 85% of these are desktops; 30% of computers are manufactured in Washington, and 40% of these are laptops; and 20% of computers are manufactured in Oregon, and 40% of these are desktops. All computers are first shipped to a distribution site in Nebraska before being sent out to stores. If you picked a computer at random from the Nebraska distribution center, what is the probability that it is a laptop?
The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 69.5% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly pick eight first-time, full-time freshmen from the survey. You are interested in the number that believes that same sex-couples should have the right to legal marital status. Let the random variable X= the number that reply "yes", X∼B(8,0.695). (a) Construct the probability distribution function (PDF).
In a survey, it was found that 80% of adults operate the flusher of toilets in public restrooms with their foot. (a) If 300 adults are randomly selected, how many would we expect to flush toilets in public restrooms with their foot? (b) Would it be unusual to observe 255 adults who flush toilets in public restrooms with their foot? (a) We would expect (Type a whole number.) adults to flush toilets in public restrooms with their foot. (b) Would it be unusual to observe 255 adults who flush toilets in public restrooms with their foot? Choose the correct answer below. O A. Yes, because 255 is greater than u + 2o. O B. No, because 255 is greater than u + 20. O C. Yes, because 255 is between u - 20 and u+ 20. O D. No, because 255 is less than u- 20. O E. No, because 255 is between u -20 and u+ 20.
You're a sociologist studying whether grocery prices are different in the inner cities than they are in the suburbs. To investigate this, you pick a random set of items (a basket of goods), and then send shoppers to buy these items at an inner city (IC) grocery, and also at a suburban (SU) grocery. You pick 30 different baskets of goods, so your secret shoppers buy 30 baskets, once at the inner city store, and once at a suburban store.The data is given in the dataset named "ICvSU_3095.xls", which you can find in data folder under Course Documents. Prices could be higher in the inner city because of discrimination, or they could be higher in the suburbs because of the greater disposable income. Use Excel to test the research hypothesis that inner city prices are different than the suburb's prices. The null hypothesis is that inner city prices are equal to suburban prices. You test at the alpha = 0.05 significance level. What do you conclude? Are prices the same? Who has higher prices?…
The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 71.3% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly pick eight first-time, full-time freshmen from the survey. You are interested in the number that believes that same sex-couples should have the right to legal marital status. What is the probability that at most five of the freshmen replies “yes"?
Spam Email Filters. A study by Forbes indicated that the five most common words appearing in spam emails are shipping!, today!, here!, available, and fingertips!. Many spam filters separate spam from ham (email not considered to be spam) through application of Bayes' theorem. Suppose that for one email account, 1 in every 10 messages is spam and the proportions of spam messages that have the five most common words in spam email are given below. shipping! 0.051 today! 0.045 here! 0.034 available 0.014 fingertips! 0.014 Also suppose that the proportions of ham messages that have these words are: shipping! 0.0015 today! 0.0022 here! 0.0022 available 0.0041 fingertips! 0.0011 a. If a message includes the word shipping!, what is the probability the message is spam? If a message includes the word shipping!, what is the probability the message is ham? Should messages that include the word shipping! be flagged as spam? b. If a message includes the word…
The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 71.2% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly pick six first-time, full-time freshmen from the survey. You are interested in the number that believes that same-sex couples should have the right to legal marital status.What is the probability that at least two of the freshmen reply "yes"? (Round your answer to four decimal places.)
1. A realtor sells houses in three different neighborhoods in the city—A, B and C. He sells ranch style homes and two-story homes. Last year, 60% of his sales were in neighborhood A, while neighborhood B made up 25% and neighborhood C was 15% of the sales. Only 10% of the houses in neighborhood A were ranches, compared with 40% for neighborhood B and 50% for neighborhood C. Suppose we randomly select one of the homes he sold in one of these three neighborhoods. (1) What’s the probability that the home is a ranch? (Enter a decimal as your answer, round to the nearest thousandth when necessary) (2) If the home is a ranch, what’s the probability that it is in neighborhood C? (Enter a decimal as your answer, round to the nearest thousandth when necessary)

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