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a. Find the expected cost of using each antibiotic to treat a middle ear infection. b. To minimize the total expected cost, which antibiotic should be chosen?

a. Find the expected cost of using each antibiotic to treat a middle ear infection. b. To minimize the total expected cost, which antibiotic should be chosen?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Otitis media, or middle ear infection, is initially treated with an antibiotic. Researchers have compared two antibiotics, A and B, for their cost effectiveness. A is inexpensive, safe, and effective. B is also safe. However, it is considerably more expensive and it is generally more effective. Use the tree diagram to the right (where the costs are estimated as the total cost of medication, office visit, ear check, and hours of lost work) to answer the following. a. Find the expected cost of using each antibiotic to treat a middle ear infection. b. To minimize the total expected cost, which antibiotic should be chosen? a. The expected cost of using antibiotic A is $ (Round to the nearest cent as needed.) The expected cost of using antibiotic B is $ (Round to the nearest cent as needed.) b. To minimize the total expected cost, which antibiotic should be chosen? 0.60 Cure $59.30 A 0.40 No cure $96.15 0.85, Cure $69.15 B 0.15 No cure $106.00 A. Antibiotic B minimizes the total expected cost. Therefore, antibiotic B should be chosen. B. Antibiotic A minimizes the total expected cost. Therefore, antibiotic A should be chosen.
Transcribed Image Text:Otitis media, or middle ear infection, is initially treated with an antibiotic. Researchers have compared two antibiotics, A and B, for their cost effectiveness. A is inexpensive, safe, and effective. B is also safe. However, it is considerably more expensive and it is generally more effective. Use the tree diagram to the right (where the costs are estimated as the total cost of medication, office visit, ear check, and hours of lost work) to answer the following. a. Find the expected cost of using each antibiotic to treat a middle ear infection. b. To minimize the total expected cost, which antibiotic should be chosen? a. The expected cost of using antibiotic A is $ (Round to the nearest cent as needed.) The expected cost of using antibiotic B is $ (Round to the nearest cent as needed.) b. To minimize the total expected cost, which antibiotic should be chosen? 0.60 Cure $59.30 A 0.40 No cure $96.15 0.85, Cure $69.15 B 0.15 No cure $106.00 A. Antibiotic B minimizes the total expected cost. Therefore, antibiotic B should be chosen. B. Antibiotic A minimizes the total expected cost. Therefore, antibiotic A should be chosen.
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