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.   A tree diagram has a root that splits into 2 branches labeled A and B. Primary branch A splits into 2 secondary branches labeled 0.80 Cure 59.30 dollars and 0.20 No cure 96.15 dollars. Primary branch B splits into two secondary branches labeled 0.90 Cure 69.15 dollars and 0.10 No cure 106.00 dollars.0.800.200.900.10 b. To minimize the total expected​ cost, which antibiotic should be​ chosen? a. The expected cost of using antibiotic A is ​$nothing. ​(Round to the nearest cent as​ needed.)

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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.
 
A tree diagram has a root that splits into 2 branches labeled A and B. Primary branch A splits into 2 secondary branches labeled 0.80 Cure 59.30 dollars and 0.20 No cure 96.15 dollars. Primary branch B splits into two secondary branches labeled 0.90 Cure 69.15 dollars and 0.10 No cure 106.00 dollars.0.800.200.900.10
b. To minimize the total expected​ cost, which antibiotic should be​ chosen?
a. The expected cost of using antibiotic A is
​$nothing.
​(Round to the nearest cent as​ needed.)
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