A new test has been introduced to detect diabetic. If a person has diabetic, there is 85% chance that the test will detect it. If a person does not have diabetic, there is a 5% chance that the test will say that he has diabetic. It is known that about 7% of the population has diabetic. i. Sally came for the test, and she tested negative for diabetic. Do you think Sally should go for a second opinion? How will Sally be affected if only 3% of the population has diabetic? Explain the findings. n. ii. If Sally was tested positive for the test, what is the probability that she has diabetic? Explain the findings.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A new test has been introduced to detect diabetic. If a
person has diabetic, there is 85% chance that the test
will detect it. If a person does not have diabetic, there
is a 5% chance that the test will say that he has
diabetic. It is known that about 7% of the population
has diabetic.
i. Sally came for the test, and she tested negative for
diabetic. Do you think Sally should go for a second
opinion? How will Sally be affected if only 3% of the
population has diabetic? Explain the findings.
ii. If Sally was tested positive for the test, what is the
probability that she has diabetic? Explain the findings.
Transcribed Image Text:A new test has been introduced to detect diabetic. If a person has diabetic, there is 85% chance that the test will detect it. If a person does not have diabetic, there is a 5% chance that the test will say that he has diabetic. It is known that about 7% of the population has diabetic. i. Sally came for the test, and she tested negative for diabetic. Do you think Sally should go for a second opinion? How will Sally be affected if only 3% of the population has diabetic? Explain the findings. ii. If Sally was tested positive for the test, what is the probability that she has diabetic? Explain the findings.
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