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17. In certain city, 8% of the men aged 60 or above have diabetes but only 4% of the men aged under-60 has the disease. If a man actually has diabetes, a doctor has a 90% of chance to diagnose correctly. If a man does not have the disease, then the doctor has a 2% of chance to diagnose incorrectly. 20% of the men in this city is 60 or above. Find the probability that (a) a man aged 60 or above and diagnosed by the doctor as having diabetes. (b) a man actually has the disease given that he was diagnosed by the doctor as having diabetes.

17. In certain city, 8% of the men aged 60 or above have diabetes but only 4% of the men aged under-60 has the disease. If a man actually has diabetes, a doctor has a 90% of chance to diagnose correctly. If a man does not have the disease, then the doctor has a 2% of chance to diagnose incorrectly. 20% of the men in this city is 60 or above. Find the probability that (a) a man aged 60 or above and diagnosed by the doctor as having diabetes. (b) a man actually has the disease given that he was diagnosed by the doctor as having diabetes.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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(a) 0.0181

(b) 0.6941

17. In certain city, 8% of the men aged 60 or above have diabetes but only 4% of the men aged under-60 has the disease. If a man actually has diabetes, a doctor has a 90% of chance to diagnose correctly. If a man does not have the disease, then the doctor has a 2% of chance to diagnose incorrectly. 20% of the men in this city is 60 or above. Find the probability that (a) a man aged 60 or above and diagnosed by the doctor as having diabetes. (b) a man actually has the disease given that he was diagnosed by the doctor as having diabetes.
Transcribed Image Text:17. In certain city, 8% of the men aged 60 or above have diabetes but only 4% of the men aged under-60 has the disease. If a man actually has diabetes, a doctor has a 90% of chance to diagnose correctly. If a man does not have the disease, then the doctor has a 2% of chance to diagnose incorrectly. 20% of the men in this city is 60 or above. Find the probability that (a) a man aged 60 or above and diagnosed by the doctor as having diabetes. (b) a man actually has the disease given that he was diagnosed by the doctor as having diabetes.
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