Only 1 in 1000 adults is afflicted with a rare disease for which a diagnostic test has been developed.The test is such that when an individual actually has the disease, a positive result will occur 99% of thetime, whereas an individual without the disease will show a positive test result only 2% of time. If arandomly selected individual is tested and the result is positive, what is the probability that theindividual has the disease.

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Answered: Only 1 in 1000 adults is afflicted with…

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...

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Similar questions

A diagnostic test for disease X correctly identifies the disease 95% of the time. False positives occur 7%. It is estimated that 5.13% of the population suffers from disease X. Suppose the test is applied to a random individual from the population. What is the percentage chance that, given a negative result, the person does not have disease X? What is the percentage chance that, the person will be misclassified?
Only 6% of people has 0-negative blood type. If a local blood drive has 100 donors, what is the probability that at least 10 of the 100 donors has O-negative blood?
If an affected female XLX marries an unaffected male XY, what is the probability of passing the hypertrichosis gene to her offspring? Remember hypertrichosis is an X-linked dominant disease. If an affected male XLY marries an unaffected female XX, what is the probability of passing the hypertrichosis gene to his offspring?
A diagnostic test for disease X correctly identifies the disease 90% of the time. Flase positives occur 12%. It is estimated that 5.36% of the population suffers from disease X. Suppose the test is applied to a random individual from the population. What is the percentage chance that given a negative result, the person does not have disease X? What is the percentage chance that, the person will be misclassified?
What would be the correct way of doing this?
A new medical test has been designed to detect the presence of a certain disease. Among those who have the disease, the probability that the disease will be detected by the new test is 0.74. However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is 0.04. It is estimated that 14 % of the population who take this test have the disease.If the test administered to an individual is positive, what is the probability that the person actually has the disease?
Apparently, depression significantly increases the risk of developing dementia later in lift (BBC News, July 6, 2010). In a recent study it was reported that 22% of those who had depression went on to develop dementia, compared to only 17% of those who did not have depression. Suppose 10% of all people suffer from depression. What is the probability of a person developing dementia? If a person has developed dementia, what is the probability that the person suffered from depression earlier in life?
A survey showed that 81% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 20 adults are randomly selected, find the probability that no more than 1 of them need correction for their eyesight. Is 1 a significantly low number of adults requiring eyesight correction? The probability that no more than 1 of the 20 adults require eyesight correction is (Round to three decimal places as needed.)

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