Question

Determine if the following probability experiment represents a binomial experiment. If​ not, explain why. If the probability experiment is a binomial​ experiment, state the number of​ trials, n.
An experimental drug is administered to 90 randomly selected​ individuals, with the number of individuals responding favorably recorded. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your answer.

A. ​Yes, because the experiment satisfies all the criteria for a binomial​ experiment, nequals nothing. ​(Type a whole​ number.)
B. ​No, because the experiment is not performed a fixed number of times.
C. ​No, because the trials of the experiment are not independent because the probability of success differs from trial to trial.
D. ​No, because there are more than two mutually exclusive outcomes for each trial.

Answer 1

Answer:

C. ​No, because the trials of the experiment are not independent because the probability of success differs from trial to trial.

Step-by-step explanation:

Given that an experimental drug is administered to 90 randomly selected​ individuals, with the number of individuals responding favorably recorded.

We find here the no of trials are 90 but we cannot say the probability is the same for all trials.

In other words, each individual may have a different probability to respond.

Since p , the success for each trial may differ for each trial binomial cannot be accepted

C. ​No, because the trials of the experiment are not independent because the probability of success differs from trial to trial.