uppose that 10% of the population is taking a certain drug, and 30% of them suffer from migraines as a side effect. Supposing th

Question

3 years ago

15

uppose that 10% of the population is taking a certain drug, and 30% of them suffer from migraines as a side effect. Supposing th

at the rate of migraines in the general population is 10%, what is the probability that a migraine sufferer is taking the drug?

Mathematics

2 answers:

blondinia [14] · Answer 1 · 2021-12-20T21:54:01+03:00

Answer:LetAbe the event that the person is taking the drug. We are told thatP(A) = 0.05.LetBbe the event that the person has migraines. We are told thatP(B) = 0.1.Further, we are told thatP(B|A) = 0.3. Using the rules for conditional probability,P(A|B) =P(A∩B)P(B)=P(B|A)P(A)P(B)=0.3·0.050.1=0.15.The probability that a migraine sufferer takes the drug is 15%.

Step-by-step explanation:

Tcecarenko [31] · Answer 2 · 2021-12-21T00:16:37+03:00

Tcecarenko [31]3 years ago

3 0

Answer:

0.3

Step-by-step explanation:

P(drug/migraine) = P(drug&migraine)/P(migraine)

= (0.1×0.3)/0.1

= 0.3