Determine whether the following probability experiment repre

Determine whether the following probability experiment represents a binomial experiment and explain the reason for your answer.

An experiment drug is administered to 40 randomly selected individuals, with the number of individuals responding favorably recorded.

Does the probability experiment represent a biniomial experiment?

Solution

Yes, because:

1. The number of trials is fixed. [n = 40]
2. Each trial is independent of the others.
3. The probability of success is [presumably] fixed.
4. There are only two results: success or non-success.