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There is a medicine to check if you have a lovesick. When tested on a person...

There is a medicine to check if you have a lovesick.
When tested on a person with a lovesick with this drug, the probability of being positive is 0.95 (95%).
And the probability of being positive is 0.1 (10%) without getting lovesick.
The number of people with lovesickness is 0.5%.
Find the following probabilities:

(a) What is the probability that the test will produce positive results?
(b) If the test results are positive, what is the probability that the person has a lovesick?
(c) If the test results are negative, what is the probability that the person is not suffering from lovesickness?
(d) What is the probability of misjudgment?

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