The national flufferball association decides to implement a drug screening procedure to test its athletes for illegal performance enhancing drugs. 3% of the professional flufferball players actually use performance enhancing drugs. A test for the drugs has a false positive rate of 2% and a false negative rate of 4%. In other words, a person who does not take the drugs will test positive with probability 0.02. A person who does take the drugs will test negative with probability 0.04. A randomly selected player is tested and tests positive. What is the probability that she really does take performance enhancing drugs

The national flufferball association decides to implement a drug screening procedure to test its athletes for illegal performance enhancing drugs. 3% of the professional flufferball players actually use performance enhancing drugs. A test for the drugs has a false positive rate of 2% and a false negative rate of 4%. In other words, a person who does not take the drugs will test positive with probability 0.02. A person who does take the drugs will test negative with probability 0.04. A randomly selected player is tested and tests positive. What is the probability that she really does take performance enhancing drugs

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

A medication is 75% effective against a bacterial infection. Find the probability that if 12 people take the medication, at least 1 person's infection will not improve.
Approximately 18% of shoppers used cellphones to look for deals. THe probability of making a purchase was 0.45 if a person used a cell phone to shop. For a randomly selected shoppers, what is the probability that the person used a cell phone and made a purchase?
Of the last 60 people who went to the cash register at a department store, 13 had blond hair, 19 had black hair, 22 had brown hair, and 6 had red hair. Determine the empirical probability that the next person to come to the register has blond hair.
The Statspoodle, a German dog, can have pointy or floppy ears. Whether a Statspoodle has pointy or floppy ears follows a Bernoulli process. The probability that a Staatspoodle has pointy ears is p(pointy)=0.25 and the the probability that a Statspoodle has floppy ears is p(floppy)=0.75. For your graduation, you receive a Statspoodle and find out that she is pregnant. An ultrasound reveils that your new Statspoodle will have four puppies. The question is attached in the image
The Statspoodle, a German dog, can have pointy or floppy ears. Whether a Statspoodle has pointy or floppy ears follows a Bernoulli process. The probability that a Staatspoodle has pointy ears is p(pointy)=0.25 and the the probability that a Statspoodle has floppy ears is p(floppy)=0.75. For your graduation, you receive a Statspoodle and find out that she is pregnant. An ultrasound reveils that your new Statspoodle will have four puppies. How many ways are there to have four puppies that all have pointy ears ?
The probability that a homeowner owns a Blu-ray player is 0.50. The probability that a homeowner owns a wide-screen TV is 0.20. If a homeowner owns a wide-screen TV, the probability that they own a Blu-ray player is 0.70. What is the chance that a randomly selected homeowner owns both a wide-screen TV and a Blu-ray player?
Before a television set leaves the factory, it is given a quality control check. the probability that a television set contains 0,1 or 2 defects is 0.65, 0.26, and 0.09, respectively. in a sample of 24 television sets, find the probability that 12 have no defect, and 5 have 2 defects.
The Statspoodle, a German dog, can have pointy or floppy ears. Whether a Statspoodle has pointy or floppy ears follows a Bernoulli process. The probability that a Staatspoodle has pointy ears is p(pointy)=0.25 and the the probability that a Statspoodle has floppy ears is p(floppy)=0.75. For your graduation, you receive a Statspoodle and find out that she is pregnant. An ultrasound reveils that your new Statspoodle will have four puppies. How many ways are there to have one puppy out of the four with pointy ears
The Statspoodle, a German dog, can have pointy or floppy ears. Whether a Statspoodle has pointy or floppy ears follows a Bernoulli process. The probability that a Staatspoodle has pointy ears is p(pointy)=0.25 and the the probability that a Statspoodle has floppy ears is p(floppy)=0.75. For your graduation, you receive a Statspoodle and find out that she is pregnant. An ultrasound reveils that your new Statspoodle will have four puppies. What is the probability that none, one or two puppies have pointy ears
Approximately 70% of statistics students do their homework in time for it to be collected and graded. Each student does homework independently. In a statistics class of 50 students, what is the probability that at least 40 will do their homework on time? Students are selected randomly. What is a “failure” in words?