1. A survey magazine subscribers showed that 45.8% rented a car during the past 12 months forbusiness reasons, 54% rented a car during the past 12 months for personal reasons, and 30%rented a car during the past 12 months for both business and personal reasons.(a) What is the probability that a subscriber rented a car during the past 12 months forbusiness or personal reasons?(a) 69.8%(b) What is the probability that a subscriber did not rent a car during the past 12 months foreither business or personal reasons?(b) 30.2%

Let the event of renting a car for business reasons be A and for personal reasons be B.Given…

Answered: 1. A survey magazine subscribers showed…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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What was the age distribution of nurses in Great Britain at the time of Florence Nightingale? Suppose we have the following information. Note: In 1851 there were 25,466 nurses in Great Britain. (a) Using the age midpoints x and the percent of nurses, do we have a valid probability distribution? Explain.A. Yes. The events are distinct and the probabilities sum to 1. B. Yes. The events are distinct and the probabilities do not sum to 1. C. No. The events are indistinct and the probabilities sum to 1. D. No. The events are indistinct and the probabilities do not sum to 1. (b) Choose a histogram that graph the probability distribution in part (a). (c) Find the probability that a British nurse selected at random in 1851 would be 60 years of age or older. (Round your answer to three decimal places.)
2. If P (A) = 0.8, P(B) = 0.5, P(AUB) = 0.9, are events A and B independent events? Why or why not? Explain/show.
According to a recent census, about 63% of Manitoba residents live in cities with a population of 10,000 or more people. A catalogue sales company in Ontario just purchased a list of Manitoba consumers. Its market analyst randomly selects 26 people from this list. (a) What is the probability that exactly 15 people live in cities? (b) What is the probability that the analyst would get more than 21 people in this sample who live in cities?
What is the probability that a subject attend Weekly Now and Rarely as a Child, P(Weekly Now AND Rarely as a Child)?
During a study of auto accidents, the Highway Safety Council found that 60 percent of all accidents occur at night, 52 percent are alcohol-related, and 37 percent occur at night and are alcohol-related. (a) What is the probability that an accident was alcohol-related, given that it occurred at night? (b) What is the probability that an accident occurred at night given that it was alcohol-related?
An increasing number of consumers believe they have to look out for themselves in the marketplace. According to a survey conducted by the Yankelovich Partners for USA Weekend magazine, 60% of all consumers have called an information line for a product. Suppose a random sample of 25 consumers is contacted and interviewed about their buying habits. a. What is the probability that 15 or more of these consumers have called an information line for a product? b. What is the probability that more than 20 of these consumers have called an information line for a product? c. What is the probability that fewer than 10 of these consumers have called an information line for a product?
According to Harper's Index, 45% of all federal inmates are serving time for drug dealing. A random sample of 16 federal inmates is selected. (a) What is the probability that 8 or more are serving time for drug dealing? (Round your answer to three decimal places.)(b) What is the probability that 3 or fewer are serving time for drug dealing? (Round your answer to three decimal places.)(c) What is the expected number of inmates serving time for drug dealing? (Round your answer to one decimal place.)
The Denver Post reported that a recent Audit of Los Angeles 911 calls showed that 85% were not emergencies. Suppose the 911 operators in Los Angeles have just received six calls. (a) What is the probability that all six calls are, in fact, emergencies? (Round your answer to five decimal places.)(b) What is the probability that two or more calls are not emergencies? (Round your answer to five decimal places.)(c) What is the smallest number of calls that the 911 operators need to answer to be at least 97% (or more) sure that at least one call is, in fact, an emergency? (Enter your answer as a whole number.) calls
All employees of a certain company have medical coverage, 30% have deluxe coverage, 60% have standard coverage and 10% have economy coverage. From recorded data, the probability that an employee with deluxe coverage will submit no claims during the year is 0.1, with the corresponding figures for standard and economy being 0.4 and 0.7 respectively. (a) What is the probability that a randomly selected employee of the com- pany will submit no claims during the year? (b) If the selected company submits no claims during the year, what is the probability that the employee has deluxe coverage? Standard coverage? Economy coverage?
Before 1918, approximately 55% of the wolves in a region were male, and 45% were female. However, cattle ranchers in this area have made a determined effort to exterminate wolves. From 1918 to the present, approximately 65% of wolves in the region are male, and 35% are female. Biologists suspect that male wolves are more likely than females to return to an area where the population has been greatly reduced. (Round your answers to three decimal places.)
The Denver Post reported that a recent Audit of Los Angeles 911 calls showed that 85% were not emergencies. Suppose the 911 operators in Los Angeles have just received three calls. (a) What is the probability that all three calls are, in fact, emergencies? (Round your answer to three decimal places.)(b) What is the probability that two or more calls are not emergencies? (Round your answer to three decimal places.)(c) What is the smallest number of calls n that the 911 operators need to answer to be at least 96% (or more) sure that at least one call is, in fact, an emergency? (Enter your answer as a whole number.) calls
According to Harper's Index, 55% of all federal inmates are serving time for drug dealing. A random sample of 16 federal inmates is selected. (a) What is the probability that 9 or more are serving time for drug dealing? (Round your answer to three decimal places.)(b) What is the probability that 3 or fewer are serving time for drug dealing? (Round your answer to three decimal places.)(c) What is the expected number of inmates serving time for drug dealing? (Round your answer to one decimal place.)

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