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2. A COVID test is accurate 85% of the time. (a) Suppose the test is given to 14 randomly selected people who do not have

2. A COVID test is accurate 85% of the time.

(a) Suppose the test is given to 14 randomly selected people who do not have COVID. What is the probability that two or more people will test positive for COVID?

(b) Suppose the test is given to 540 randomly selected people who do not have COVID. Use the Normal approximation to find the probability that 95 or more people will test positive for COVID. Make sure you check the appropriate conditions before you use the Normal approximation.

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