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There are two tests for a disease, one is rapid and the other is slow. Given that an individual is infected, the rapid test will

There are two tests for a disease, one is rapid and the other is slow. Given that an individual is infected, the rapid test will register positive 40% of the time, while the slow test will register positive 80% of the time; additionally, both tests will be positive 35% of the time.

Suppose in the above example that people not infected always test negative for both tests.

4.1 [1 pt] Assume currently, 20% of the population has the virus. Use Bayes theorem to calculate the chance that a persons has the virus conditioned on getting negative results for both tests? Store your answer in the variable ANS41 as accurately as possible.

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