An athletic league does drug testing of its athletes, 10 percent of whom use drugs. this test, however, is only 95 percent reliable. that is, a drug user will test positive with probability 0.95 and negative with probability 0.05, and a nonuser will test negative with probability 0.95 and positive with probability 0.05. develop a probability tree diagram to determine the posterior probability of each of the following outcomes of testing an athlete.

(a) the athlete is a drug user, given that the test is positive.

(b) the athlete is not a drug user, given that the test is positive.

Elizabeth believes her company has discriminated against her because her minority coworkers, who are less qualified, have been promoted ahead of her. which agency should elizabeth contact? - national alliance of business- affirmative action council- equal employment opportunity commission- federal trade commission- fair employment practices agency

The owners of backstreets italian restaurant are considering starting a delivery service forpizza and their other italian dishes in the small college town where they are located. theycan purchase a used delivery van and have it painted with their name and logo for $21,500.they can hire part-time drivers who will work in the evenings from 5 p. m. to 10 p. m. for$8 per hour. the drivers are mostly college students who study at the restaurant when theyare not making deliveries. during the day, there are so few deliveries that the regular employeescan handle them. the owners estimate that the van will last 5 years (365 days per year)before it has to be replaced and that each delivery will cost about $1.35 in gas and othermaintenance costs (including tires, oil, scheduled service, they also estimate that onaverage each delivery order will cost $15 for direct labor and ingredients to prepare andpackage, and will generate $34 in revenue. a. how many delivery orders must backstreets make each month in order for the service to break even? b. the owners believe that if they have approximately the break-even number of deliveries during the week, they will at least double that number on fridays, saturdays, and sundays. if that’s the case, how much profit will they make, at a minimum, from their delivery service each month (4 weeks per month)?

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.