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A new unusual disease is spreading. Currently one in every one million people has it. A company develops a test for the disease which they
A new unusual disease is spreading. Currently one in every one million people has it. A company develops a test for the disease which they say is 99% accurate, in the sense that a person with the disease will test positive 99% of the time, and a person who doesn't have it will test negative 99% of the time.
- a)Write what it means for the test to be 99% accurate as two conditional probabilities. Use the eventstest positive, test negative, sick, not sick.
- b)If you test positive, what are the odds you have the disease?Hint: first write this as a conditional probability, then use Bayes' Theorem.
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