Question Help Determine whether the following probability ex

Question Help

Determine whether the following probability experiment represents a binomial experiment and explain the reason for your answer.An experimental drug is administered to160 randomly selected individuals, with the number of individuals responding favorably recorded

Does the probability experiment represent a biniomial experiment?

No, because the trials of the experiment are not independent.

Yes, because the experiment satisfies all the criteria for a binomial experiment.

No, because the probability of success differs from trial to trial.

No, because there are more than two mutually exclusive outcomes for each trial.

Solution

Binomial Experiment-
A binomial experiment (also known as a Bernoulli trial) is a statistical experiment that has the following properties:
The experiment consists of n repeated trials.
Each trial can result in just two possible outcomes. We call one of these outcomes a success and the other, a failure.
The probability of success, denoted by P, is the same on every trial.
The trials are independent; that is, the outcome on one trial does not affect the outcome on other trials.

              
              
   Yes, because the experiment satisfies all the criteria for a binomial experiment.