You have a blood test for a rare disease that occurs by chance in 1 person in 100,000. If you have the disease, the test will report that you do with probability 0.95 (and that you do not with probability 0.05). If you do not have the disease, the test will report a false positive with probability 0.001. If the test says you do have the disease, what is the probability that you actually have the disease?

You have a blood test for a rare disease that occurs by chance in 1 person in 100,000. If you have the disease, the test will report that you do with probability 0.95 (and that you do not with probability 0.05). If you do not have the disease, the test will report a false positive with probability 0.001. If the test says you do have the disease, what is the probability that you actually have 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

If a seed is planted, it has an 80% chance of growing into a healthy plant. If 12 seeds are planted, what is the probability that exactly 1 doesn’t grow?
If the probability of one event occurring is 1/4 and the probability of another event occurring is 1/10, what is the probability that both events will occur?
Suppose that we know 10 % of people do not like pizza. If you pick two people at random, what is the probability that the first one does not like pizza but the second one does like pizza? Give your answer as a decimal rounded to three decimal ploces. The probability is
Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees 15 children living in urban areas, what is the probability that 5 are obese? Enter response as .xxxx
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?
Liam is playing badminton against his brother and the probability that he wins against his brother is 0.3. What is the probability that on a given day, Liam wins for the first time on the 5th or 6th set played?
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
In a certain computer game, an alien monster roams the screen intending to eat your character. You are armed with a pistol. If you have one out of twelve chance of hitting the monster if you fire randomly, what is the probability that it will take you 15 shot to hit the monster?
You are interested in the number of people that will visit your restaurant in the noon hour. Historically, there is a 10% chance that more than 10 customers will visit, a 30% chance that more than 8 customers will visit, a 50% chance that more than 6 customers will visit, a 80% chance that more than 4 customers will visit, and a 95% chance that at least 2 customers will visit during the noon hour. What is the probability that 4 or less customers will visit the restaurant -- the number required to break even financially for the day?Express your answer as a percent value. So if your answer is 100% for example, enter 100. Round your answer to the nearest percent.
Money bills are frequently printed with defects. The probability that a bill's front side has a defect is 2 percent, the probability that a bill's back side has a defect is 4 percent, and the probability that a bill has defects on both sides is 1 percent. What is the probability that a bill will have a defect on the front, given that it has a defect on its back?