1. A certain respiratory illness affects 0.1% of the population. An accurate test has beendeveloped to detect this illness with the following details:- false positive rate of 4% (4% of the people who take the test will test positive even though theydon't have it)- false negative rate of 3%Given that a random person just tested positive, determine the probability of having this illness.

Answered: Given that a random person just tested…

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

Students were all given a test that they ALL guess on. It had 10 questions and each were true or false. What is the probability that someone scored 0 or 10%
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.
According to the Turkish Ministry of Health, the probability of a woman developing breast cancer over a lifetime period is 1/5. What is the probability that 3 women out of 15 will develop breast cancer over a lifetime?
Can the value 22 be a probability?
One half of the people in the United States own individual stocks. In a random sample of 12 people, what is the probability that the number owning individual stocks is less than 4. Round to 3 decimal places.
Public Opinion reported that 5% of Americans are afraid of being alone in a house at night. If a random sample of 20 Americans is selected, find the probability that less than 3 people in the sample who are afraid of being alone at night.
The probability that an entering student will graduate is 0.4. Determine the probability that out of 5 students at least one will graduate.
Mr. Siozios finds that the empirical probability of a student failing statistics is 30%. There are 10 students. Find the probability that at most three students fail statistics.
The records of an Italian shoe manufacturer show that 10% of shoes made are defective. Assuming independence, find the probability of getting 2 defective shoes in a batch of 12.
Suppose that the probability of a plane arriving on time is 80%. Out of ten flights, what is the probability that at least seven will arrive on time? Explain your reasoning.
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.
What is the probability that a randomly chosen individual would be less than 64.5 years of age? Show how you standardized the problem.

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS