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)
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Chapter1: Combinatorial Analysis
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Oliver is an employee at a pharmaceutical company. Recently, he has been trying to develop a test kit for the recently discovered Sentosa coronavirus
(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.)
Transcribed Image Text:Oliver is an employee at a pharmaceutical company. Recently, he has been trying to develop a test kit for the recently discovered Sentosa coronavirus (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.)
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