A manufacturer of headache medicine claims it is 70 percent effective within a few minutes. That is, out of every 100 users 70 get relief within a few minutes. A group of 12 patients are given the medicine. If the claim is true, what is the probability that 8 have relief within a few minutes?

Question

Quizplus · Accepted Answer

This is a binomial probability problem with n = 12 (number of trials) and p = 0.7 (probability of success). The probability of 8 patients getting relief can be calculated using the binomial probability formula:

P(X = 8) = (12 choose 8) * 0.7^8 * 0.3^4 = 0.231

Therefore, the answer is D.

A Manufacturer of Headache Medicine Claims It Is 70 Percent