On a given day, 6% of the local population has the flu. If a person has the flu and takes a flu test, the test will be positive with the probability of 70%. If a person does not have the flu and takes the flu test, the test will be negative 95% of the time. a) On the given day, what is the probability that the flu test will return a correct result for a randomly selected individual. b) How many tests are needed to improve one's knowledge on their flu status from the initial guess by at least a factor of 5.

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