A medical test is used to detect a particular disease. Suppose that 0.2% of the population has the disease. If a person has the disease, there is a 97% chance thatthe test result will be positive. if the person is healthy, there is a 4% chance thatr the test result will be positive. Given that a person is selected at random and thetest indicates a positive result, what is the probability that the person selected has the disease?

We have to use Bayes theorem to find the conditional probability.

Answered: A medical test is used to detect a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

It has been determined that there is a 75% chance of a person using their seatbelt when sitting in the back seat of a car. If 8 people leave a party and take cabs home, which of the following would be used to find the probability that 6 of them use their seatbelt when sitting in the back seat?
In a jury trial, suppose the probability the defendant is convicted given guilt, is 0.95, and the probability the defendant is acquitted given innocence is 0.95. Suppose 90% of defendants are truly guilty. Given that the defendant is convicted, find the probability that he was actually guilty.
If a seed is planted, it has a 65% chance of growing into a healthy plant. If 10 seeds are planted, what is the probability that exactly 1 doesn't grow?
A study showed that in 1990, 47% of all those involved in a fatal car crash wore seat belts. Of those in a fatal crash who wore seat belts, 46% were injured and 26% were killed. For those not wearing seat belts, the comparable figures were 43% and 51%, respectively. Find the probability that a randomly selected person who was unharmed in a fatal crash was not wearing a seat belt.
A vaccine has a 90% probability of being effective in preventing a certain disease. The probability of getting the disease if a person is not vaccinated is 50%. In a certain geographic region, 25% of the people get vaccinated. If a person is selected at random, what is the probability that he or she will contract the disease?
The probability that a statistics graduate from a Canadian university gets a data science job is 0.6.Ten graduates applied for executive jobs.What is the probability that exactly 3 will get jobs, at least 2 will get a job, at most 8 will get a job, and no one will get a job?
If the probability of having type AB Blood is 0.517, what is the probability that in a group of four people, all four have type AB Blood?
The probability that an individual has 20-20 vision is 0.14. In a class of 77 students, what is the probability of finding exactly 5 people with 20-20 vision? assuming finding an individual with a 20-20 vision is independent of finding another individual with 20-20 vision.
Suppose that 35% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?Give your answer as a decimal (to at least 3 places) or fraction
If you have a sample of 100 patients at a hospital and 20 of them have the flu, what is the probability Of randomly selecting 3 patients in a row who have the flue?
A survey determines that in Blue Village, 0.33 of the residents do jogging, 0.42 do biking, and 0.12 do both activities. Find the probability that a randomly selected person does biking only.
part C and D

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS