GATE ME 2016 Set 1 — Question 6
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General Aptitude → Quantitative Aptitude → Elementary Statistics & Probability
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Question
A person moving through a tuberculosis prone zone has a 50% probability of becoming infected. However, only 30% of infected people develop the disease. What percentage of people moving through a tuberculosis prone zone remains infected but does not show symptoms of disease?
Correct answer
(C) 35
Solution
Let
Let be the probability of developing the disease given that the person is infected.
The probability of not showing symptoms (not developing the disease) given that the person is infected is:
We need to find the percentage of people who are infected AND do not show symptoms:
Hence, the correct option is (C).
P(I) be the probability of becoming infected.Let be the probability of developing the disease given that the person is infected.
The probability of not showing symptoms (not developing the disease) given that the person is infected is:
We need to find the percentage of people who are infected AND do not show symptoms:
Hence, the correct option is (C).
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