In a particular pain clinic, 10% of patients are prescribed narcotic pain killers. Overall, 5% of the clinic's patients are addicted to narcotics (including pain killers and illegal substances). Out of all the people prescribed pain pills, 8% are addicts. If a patient is an addict, what is the probability that they will be prescribed pain pills? Bayes' Rule: P(C\x)=P(C) p(x|C) p(x)

In a particular pain clinic, 10% of patients are prescribed narcotic pain killers. Overall, 5% of the clinic's patients are addicted to narcotics (including pain killers and illegal substances). Out of all the people prescribed pain pills, 8% are addicts. If a patient is an addict, what is the probability that they will be prescribed pain pills? Bayes' Rule: P(C\x)=P(C) p(x|C) p(x)

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter12: Review Of Calculus And Probability

Section: Chapter Questions

Problem 6RP

See similar textbooks

Similar questions

At a certain university, 4% of men are over 6 feet tall and 1% of women are over 6 feet tall. The total student population divided in the ratio 3:2 in favour of women. If a student I selected at random from among all those over six feet tall, what I the probability that the student is a woman?
4. The probability that a driver must stop at any one traffic light coming to IUKL is 0.2. What is the probability that a student must stop at the traffic light at most 2 out of 9 sets of traffic lights?
In the hiring problem, what is the probability that the n’th best candidate will be hired after being interviewed?
In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where O represents the worst possible life and 10 represents the best possible life. The responses were normally distributed, with a mean of 5.3 and a standard deviation of 1.9. Answer parts (a)-(d) below. (a) Find the probability that a randomly selected study participant's response was loss than 4. The probability that a randomly selected study participant's response was lons than 4 is (Round to four decimal placos as needed.)
A car rental agency at a local airport has available 5 Fords, 7 Chevrolets, 4 Dodges, 3 Datsuns, and 4 Toyotas. If the agency randomly selects 9 of these cars to chauffeur delegates from the airport to the downtown convention center, a. Find the probability that a Ford, a Chevrolets, 2 Dodges, 2 Datsun and 3 Toyotas are used.b. Find the probability that 2 Fords, 3 Chevrolets, 1 Dodge, 1 Datsun and 2 Toyotas are used. 4 decimal places please
A particular telephone number is used to receive both voice calls and fax messages. Suppose that 20% of the incoming calls involve fax messages, and consider a sample of 20 incoming calls. (Round your answers to three decimal places.) (a) What is the probability that at most 6 of the calls involve a fax message?(b) What is the probability that exactly 6 of the calls involve a fax message?(c) What is the probability that at least 6 of the calls involve a fax message?(d) What is the probability that more than 6 of the calls involve a fax message?
3. The finish times for marathon runners during a race are normally distributed with a mean of 195 minutes and a variance of 289 minutes. What is the probability that a runner will complete the marathon within 180 minutes?
Solve in R programming language: Suppose that the number of years that a used car will run before a major breakdown is exponentially distributed with an average of 0.25 major breakdowns per year. (a) If you buy a used car today, what is the probability that it will not have experienced a major breakdown after 4 years. (b) How long must a used car run before a major breakdown if it is in the top 25% of used cars with respect to breakdown time.
Consider two defaultable 1-year loans with a principal of $1 million each. The probability of default on each loan is 2.5%. Assume that if one loan defaults, the other does not. Assume that in the event of default, the loan leads to a loss that can take any value between $0 and $1 million with equal probability, i.e., the probability that the loss is higher than $ ? million is 1 − ?. If a loan does not default, it yields a profit equal to $20,000. Compute the 1-year 98% Value at Risk (VaR) and Expected Shortfall (ES) of a single loan.
cs hw help
The chaper is Probability.
During the internship season m tech companies are looking to hire CS undergrads, each company has k number of available positions. There are also n CS undergrads, each interested in joining one of the companies. After all the interviews each company has rankings of students in order of preference, and each student has a ranking of companies in order of preference. We can assume that there are more internship slots available than the number of students. (This means that at the end not all slots will be filled.) Describe an algorithm that finds a stable assignment of students to companies. That is, each student will get assigned to one company and the resulting matching is stable. In your answer make sure to follow the guidelines of solving an algorithmic problem, as described above.