IS ploye mpany. niy, corofnavirus (which caused 3 out of 4 of his colleague, Jamie's, family to be infected). Oliver knows that the virus is relatively virulent and estimates that 15% of the population has the disease. Due to limitations in technology, Oliver cannot develop a testing kit that wrongly predicts a healthy individual to be positive less than 1.5% of the time. How accurate, in terms of the probability that an infected individual is tested positive, must Oliver get his test kit to, in order to achieve a probability of correctly identifying the disease given that the test is positive of at least 90%? (Leave your answer in terms of percentages, rounded to the nearest one decimal place. DO NOT key in % into your answer.)

IS ploye mpany. niy, corofnavirus (which caused 3 out of 4 of his colleague, Jamie's, family to be infected). Oliver knows that the virus is relatively virulent and estimates that 15% of the population has the disease. Due to limitations in technology, Oliver cannot develop a testing kit that wrongly predicts a healthy individual to be positive less than 1.5% of the time. How accurate, in terms of the probability that an infected individual is tested positive, must Oliver get his test kit to, in order to achieve a probability of correctly identifying the disease given that the test is positive of at least 90%? (Leave your answer in terms of percentages, rounded to the nearest one decimal place. DO NOT key in % into your answer.)

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

To reduce laboratory costs, water samples from five public swimming pools are combined for one test for the presence of bacteria. Further testing is done only if the combined sample tests positive. Based on past results, there is a 0.004 probability of finding bacteria in a public swimming area. Find the probability that a combined sample from five public swimming areas will reveal the presence of bacteria. Is the probability low enough so that further testing of the individual samples is rarely necessary? The probability of a positive test result is (Round to three decimal places as needed.)
If you roll a 10 sided die until you get a 1, what would be the expected value and variance of the resulting probability distribution?
A new surgery is successfully 85% of the time . If the results of 7 such surgeries are randomly sampled, what is the probability that at least 5 of them are successful. Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places.
Suppose that 20.56% of all vehicles on the road get a fuel economy of at least 35 miles per gallon (MPG). You conduct an observational study on a stretch of road outside of campus and record the make and model of 727 vehicles over a month long period. What is the probability that greater than 21.1% of the cars you observed get at least 35 MPG? (please show how to plug this into a scientific calculator) Question 4 options: 1) 0.3593 2) 0.5000 3) <0.0001 4) -23.9437 5) 0.6407
In a genetics experiment on peas, one sample of offspring contained 436 green peas and 373 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of 3/4 that was expected?
A rapid HIV test that gives results while a client at a clinic waits is unfortunately less accurate than slower lab tests.Applied to people who have no HIV antibodies,one rapid test has probability about 0.004 of producing a false positive.if a clinic tests 200 people who are free of HIV antibodies,what is the chance that at least one force positive will occur?
Please answer the question which is wrong (red)
In a new fiber-optic communication system, trans- mission errors occur at the rate of 1.5 per twenty seconds. What is the probability that more than five errors will occur during the next minute?
Testing for a disease can be made more efficient by combining samples. If the samples from six people are combined and the mixture tests negative, then all six samples are negative. On the other hand, one positive sample will always test positive, no matter how many negative samples it is mixed with. Assuming the probability of a single sample testing positive is 0.1, find the probability of a positive result for six samples combined into one mixture. Is the probability low enough so that further testing of the individual samples is rarely necessary? The probability of a positive test result is (Round to three decimal places as needed.) ~
Testing for a disease can be made more efficient by combining samples. If the samples from six people are combined and the mixture tests negative, then all six samples are negative. On the other hand, one positive sample will always test positive, no matter how many negative samples it is mixed with. Assuming the probability of a single sample testing positive is 0.05, find the probability of a positive result for six samples combined into one mixture. Is the probability low enough so that further testing of the individual samples is rarely necessary? The probability of a positive test result is (Round to three decimal places as needed.)