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Category: Calculus and Above

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Pharmacies continually monitor their prescription filling process.

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Pharmacies continually monitor their prescription filling process. A local pharmacy has noted that the time to fill a prescription for a generic antibiotic is normally distributed with a mean of 9.3 minutes and a standard deviation of 1.8 minutes.

a. Find the probability that a prescription for a generic antibiotic takes less than 10 minutes to fill. b. Find the probability that a prescription for a generic antibiotic takes between 7 and 9 minutes to fill. c. The slowest 10% of prescription fills result in a special discount to the customer. How long must a prescription fill for a generic antibiotic take in order to qualify for this discount? (Points : 18)