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

Answer:

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

Step-by-step explanation:

Here we have probability is given by

Probability = $\frac{Number\, of \, Success}{Number\, of \, Trials}$ Where:

Number of success = 3982 and

Number of trials = 4250. therefore;

$Probability \, of \, Success = \frac{3982}{4250} = \frac{1991}{2125}$

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

$\frac{1991}{2125} = \frac{x}{9000} \rightarrow x \times2125 = 1991 \times 9000\\x = \frac{1991 \times 9000}{2125} = \frac{143352}{17} = 8432\frac{8}{17}$

or ≈ 8432 people.