At fault The car insurance company in Exercise 8 believesthat about 0.5% of drivers have an at-fault accident during agiven year. Suppose the company insures 1355 drivers inthat city.a) What are the mean and standard deviation of the numberwho may have at-fault accidents?b) Can you describe the distribution of these accidents witha Normal model? Explain.IR4.8. Deductible A car owner may buy insurance that will paythe full price of repairing the car after an at-fault accident,or save $12 a year by getting a policy with a $500 deduct-ible. Her insurance company says that about 0.5% of driversin her area have an at-fault auto accident during any givenyear. Based on this information, should she buy the policywith the deductible or not? How does the value of her carinfluence this decision?

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Answered: At fault The car insurance company in…

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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1- Computer Literacy Test If 80% of job applicants are able to pass a computer literacy test, find the mean, variance, and standard deviation of the number of people who pass the examination in a sample of 150 applicants. 2- Fuel Efficiency for U.S. Light Vehicles The average fuel efficiency of U.S. light vehicles (cars, SUVS, minivans, vans, and light trucks) for 2005 was 21 mpg. If the standard deviation of the population was 2.9 and the gas ratings were normally distributed, what is the probability that the mean mpg for a random sample of 25 light vehicles is under 20? Between 20 and 25? 3- Elementary School Teachers Women comprise 80.3% of all elementary school teachers. In a random sample of 300 elementary chers, what is the probability that less than three-fourths are women?
Rental car transaction times are uniformly distributed between 15 and 35 minutes. a. P( transaction takes less than 20 minutes) b. P(transaction takes more than 29 minutes) c. P( transaction takes between 18 and 30 minutes) d. P(transaction takes exactly 19 minutes) e. What is the mean transaction time? f. Determine the standard deviation.
A variable is normally distributed with a mean of 15 and a standard deviation of 4. a. Find the percentage of all possible values of the variable that lie between 10 and 23. b. Find the percentage of all possible values of the variable that are at least 7. c. Find the percentage of all possible values of the variable that are at most 8.
1- Assume that the mean hourly cost to operate a commercial airplane follows a normal distribution with a mean of $2100 per hour and a standard deviation of $250. Determine the lowest 6% of the operating cost.
D) How to determine the maximum number of cloudy days that would be considered usual for June?
2. The Librarian A librarian figured out how many books were checked out by some people last year by looking at their accounts. Checking out books from the library 1. 2 3 4 5 6 Books checked out a. What was the average number of books checked out from the library last year? b. If a new person came into the library and checked out 20 books, would the standard deviation increase, decrease, or stay about the same? Justify your answer. If a new person came into the library and checked out 3 books, would the standard deviation increase, decrease, or stay about the same? Justify your answer. C. 一 +****
5. Interval estimation when o is known The Wall Street Journal reported that automobile crashes cost the United States $162 billion annually (The Wall Street Journal, March 5, 2008). The average cost per person for crashes in the Tampa, Florida, area was reported to be $1599. Suppose this average cost was based on a sample of 50 persons who had been involved in car crashes and that the population stan- dard deviation is o = $600. What is the margin of error for a 95% confidence interval? What would you recommend if the study required a margin of error of $150 or less?
K A survey found that women's heights are normally distributed with mean 63.4 in and standard deviation 2.5 in. A branch of the military requires women's heights to be between 58 in and 80 in. a. Find the percentage of women meeting the height requirement. Are many women being denied the opportunity to join this branch of the military because they are too short or too tall? b. If this branch of the military changes the height requirements so that all women are eligible except the shortest 1% and the tallest 2%, what are the new height requirements? Click to view page 1 of the table. Click to view page 2 of the table. correct: 1 C... a. The percentage of women who meet the height requirement is (Round to two decimal places as needed.)
68% of statistics Mean 95% of statistics 99.7% of statistics 4 Mean Mean 1 st. 2 st dev 3 st dev 1 st. dev 2 st. dev below 3 st. dev below dev above above below above Suppose that water usages in American showers are normally distributed, with an average shower using 15.3 gallons, and a standard deviation of 2.3 gallons. Estimate the percentage of showers that used (a) % of showers use between 13 and 17.6 gallons. (b) % of showers use more than 22.2 gallons. (c) % of showers use less than 13 gallons. (d) According to the 2 Standard Deviation Rule, data values that are more than 2 standard deviations away from the mean of the distribution are considered to be "unusually high" or "unusually low." According to this rule, it would be unusual for an American shower to last more than gallons. Question Help: Video > Next Question

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