A medical test is available to determine whether a patient has a certain disease. To determine the accuracy of the test, a total of 9700 people are tested. Only 100 of these people have the disease, while the other 9600 are disease free. Of the disease-free people, 9300 get a negative result, and 300 get a positive result. The 100 people with the disease all get positive results. Round your answers to four decimal places, if necessary. Find the probability that the test gives the correct result for a person who has the disease.

A medical test is available to determine whether a patient has a certain disease. To determine the accuracy of the test, a total of 9700 people are tested. Only 100 of these people have the disease, while the other 9600 are disease free. Of the disease-free people, 9300 get a negative result, and 300 get a positive result. The 100 people with the disease all get positive results. Round your answers to four decimal places, if necessary. Find the probability that the test gives the correct result for a person who has the disease.

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

Hospitals like to have electricity provided when there is a blackout. Assume that the backup generators fail 38% of the time. Find the probability of a hospital with 2 back up generators failing at the same time. Round to 4 decimal places. Find the probability of at least one generator working during a blackout. Round to 4 decimal places.
A group of people were asked if they had run a red light in the last year. 273 responded "yes", and 289 responded "no". Find the probability that if a person is chosen at random, they have run a red light in the last year. Give your answer as a fraction or decimal to 4 decimal places Question Help: DVideo D Post to forum
A couple plans to have 5 children. Assume that girl and boy births are equally likely. Find the mean number of girls in 5 births. Round your answer to one decimal place, if needed.
The odds in favor of Michael Jordan making a free throw were 21:4. Find the probability of Michale Jordan missing a free throw. Give answer as a decimal to the nearest hundredth.
The probability that Luis will pass his statistic test is 0.62. Find the probability that he will fail his statistic test.
The exponential variable describes time between trains to NYC's subway station in the Downtown. The average number of trains is 8 per one hour. Find the probability that more than 10 minutes will elapse between two trains?
A basketball player estimates that he makes 58 % of the free throws he takes. If he takes 15 shots, find the probability that he makes 11 of the 15 shots. (Report answer accurate to 4 decimal places.)
Approximately 2 percent of Americans ages 50-60 have lung cancer. A patient with lung cancer has a 91 percent chance of a positive test. A patient without lung cancer has a 8 percent chance of a positive test (a false positive result). Complete the table below, then answer the questions below the table. Give all answers as decimals to 4 decimal places. Positive test result Negative test result Total Has lung cancer Does not have lung cancer Total What is the probability a patient has lung cancer given that she just had a positive test? Give answer as decimals to 4 decimal places.
Answer 2 only: 1- A dice and a coin are rolled together, find the probability of getting an even t number with a head or a number can be divided by three with a head.