Question

2. A medical study tests a new cough medicine on 4250 people. It is effective for 3982 people. What is the experimental probability that the medicine is effective? For a group of 9000 people, predict the approximate number of people for whom the medicine will be effective.​

Answer 1

For a 9000 people, the approximate number of people for whom the medicine will be effect is 8432 people

Explanation:

Here we have probability is given by

Probability =
`(Number\, of \, Success)/(Number\, of \, Trials)` Where:

Number of success = 3982 and

Number of trials = 4250. therefore;

`Probability \, of \, Success = (3982)/(4250) = (1991)/(2125)`

Therefore, when the medicine is used on 9000 people, the approximate number of people for whom the medicine will be effect is given by;

`(1991)/(2125) = (x)/(9000) \rightarrow x *2125 = 1991 * 9000\\x = (1991 * 9000)/(2125) = (143352)/(17) = 8432(8)/(17)`

or ≈ 8432 people.