Grear Tire Company has produced a new tire with an estimated mean lifetime mileage of 36,500 miles. Management also believes that the standard deviation is 5000 miles and that tire mileage is normally distributed. Use a worksheet to simulate the miles obtained for a sample of 500 tires. a. Use the Excel COUNTIF function to determine the number of tires that last longer than 40,000 miles. What is your estimate of the percentage of tires that will exceed 40,000 miles?b. Use COUNTIF to find the number of tires that obtain mileage less than 32,000 miles. Then, find the number with less than 30,000 miles and the number with less than 28,000 miles. c. If management would like to advertise a tire mileage guarantee such that approxi- mately no more than 10% of the tires would obtain mileage low enough to qualify for the guarantee, what tire mileage considered in part (b) would you recommend for the guarantee?

One question from a survey was "how many credit cards do you currently have? " the results of the survey are provided. complete parts (a) through (g) below. click the icon to view the survey results. (a) determine the mean number of credit cards based on the raw data. the mean is 3.113.11 credit cards. (type an integer or a decimal. do not round.) (b) determine the standard deviation number of credit cards based on the raw data. the standard deviation is 1.9111.911 credit cards. (round to three decimal places as needed.) (c) determine a probability distribution for the random variable, x, the number of credit cards issued to an individual. x (# of cards) p(x) x (# of cards) p(x) 1 0.280.28 6 nothing 2 nothing 7 nothing 3 nothing 8 nothing 4 nothing 9 nothing 5 nothing 10 nothing (type integers or decimals. do not round.)

Suppose the marginal damage and marginal benefit curves in a polluted neighborhood are md = p/3 and mb = 4 – p. also, suppose that transactions costs are low, so that the consumers and the firm can bargain. we saw that in this case, the socially-optimal level of pollution is achieved. start by computing the socially-optimal p. then, for each of the following cases, compute the amount of money transferred through the bargaining process, and indicate who pays whom (i.e., whether consumers pay the firm, or vice versa). also, compute the gains to each party relative to the status quo (i.e., the starting point of the bargaining process).a)consumers have the right to clean air; firm is dominant in the bargaining process.b)consumers have the right to clean air; consumers are dominant in the bargaining process.c)firm has the right to pollute; firm is dominant in the bargaining process.d)firm has the right to pollute; consumers are dominant in the bargaining proces

Employees at a library check out books to patrons. books have an isbn and a name. the library sometimes has multiple copies of the same book. books have one or more authors. a patron is an individual who has an active (non-expired) library card. for each library card, we store the person's first and last names and their address. for each employee, we store their employee id, current salary, first and last name and their address. we also store the employee id of their current manager. each time we check out a book to a patron we need to store the date of the transaction, the employee who checked out the book to the patron, and the library card of the patron. some employees have library cards. if an employee patron turns in a book late, the fine that they pay is a percentage of their salary. some employees are authors who have library cards—they are allowed to check out as many books as they like.