2.99
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Suppose that a healthcare provider selects 20 patients randomly (without replacement) from among 500 to evaluate adherence to a medication schedule. Suppose that 10% of the 500 patients fail to adhere with the schedule. Determine the following:

a. Probability that exactly 10% of the patients in the sample fail to adhere.

b. Probability that fewer than 10% of the patients in the sample fail to adhere.

c. Probability that more than 10% of the patients in the sample fail to adhere.

d. Mean and variance of the number of patients in the sample who fail to adhere.