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A drive through at the Mt. Nittany Medical Center tests patients in their car for COVID...

A drive through at the Mt. Nittany Medical Center tests patients in their car for COVID 19. They have found that 15% of the patients who are tested for COVID 19 test positive for the disease; the remaining patients test negative. Use this information to answer the following questions.

1.If 20 patients are tested, what is the probability that three of them test positive? (Use 4 decimal places)

2.Let X = # of patients who test positive for COVID 19 at the Mt. Nittany Medical Center drive through. What is the distribution of X?

3.What is the probability that the third COVID 19 positive patient is the fifteenth patient tested? (Use 4 decimal places)

4.What is the probability that you need to test at least two patients to identify one COVID 19 positive patient? (Use 2 decimal places)

5.If you test 25 patients, how many of them would you expect to test positive for COVID 19? (Use 2 decimal places)

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