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?

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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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