Question

Suppose two drugs are routinely used for the treatment of thyroid dysfunction. Drug X is known to cure the disorder 75% of the time and costs $88. Drug Y is known to cure the disorder 60% of the time and costs $75. The two drugs work independent of each other. The two treatment plans are as follows:

Plan A: Treatment with Drug X—if not effective, treatment with Drug Y
Plan B: Treatment with Drug Y—if not effective, treatment with Drug X

Answer 1

Hi, and welcome to QuestionCove!
I'm not sure exactly what the question, and I'll ask you to provide more context to the information, particularly what we're supposed to be answering.
Still, I can break down the treatment plans by their cost and effectiveness, based on the information given.

Plan A has a 75% chance of being effective with only Drug X, which costs $88. The remaining 25% of the time, the cost will be 88+75 = $163 with both drugs
Plan B has a 60% chance of being effective with only Drug Y, which costs $75. The remaining 40% of the time, the cost will be $163 with both drugs

Plan A has an effectiveness of 0.75 + (0.25*0.60) = 0.9 or 90%
Plan B has an effectiveness of 0.60 + (0.40*0.75) = 0.9 or 90%

Answer 2

Select the correct answer.
For what part of the population is Plan B NOT effective?
A.
40%
B.
30%
C.
15%
D.
10%