Q:

An experimental drug is administered to 80 randomly selected​ individuals, with the number of individuals responding favorably recorded.Does the probability experiment represent a binomial​ experiment?

Accepted Solution

A:
Answer:Yes, because the experiment satisfies all the criteria for a binomial experiment.Step-by-step explanation:A binomial experiment has the following criterias,1. There must be a fixed number of trials2. Each trial is independent of the others3. There must be only two outcomes  ( success and failure )4. The probability of each outcome is same.Given,An experimental drug is administered to 80 randomly selected​ individuals, with the number of individuals responding favorably recorded,The number of trials = 80 ( fixed )Each individuals is independent,Total outcomes = 2 ( yes or no ),Also, the probability of each individual is same,Hence, the given probability experiment represent a binomial​ experiment.