Determine whether the given procedure results in a binomial distribution (or a distribution that can be treated as binomial). If the procedure is not binomial, identify at least one requirement that is not satisfied. Five different senators from the current U.S. Congress are randomly selected without replacement and whether or not they've served over 2 terms is recorded. Does the probability experiment represent a binomial experiment? A. No, because the experiment is not performed a fixed number of times. B. No, because the trials of the experiment are not independent and the probability of success differs from trial to trial. C. Yes, because the experiment satisfies all the criteria for a binomial experiment. D. No, because there are more than two mutually exclusive outcomes for each trial.

The first criterion of a binomial distribution is a fixed number of trials. Selecting 5 senators means the number of trials is 5, which is a fixed number.

The next criterion is that the trials must be independent. Selecting the senators without replacement means the trials are dependent, not independent; this means that this is not a binomial distribution.

AFOKE88 AFOKE88 · Answer 2 · 2021-10-08T13:55:06+02:00

The correct option as to whether the procedure represents a binomial experiment is;

Option B; No, because the trials of the experiment are not independent and the probability of success differs from trial to trial.

A binomial distribution can simply be defined as the probability of the outcome in an experiment that is repeated numerous times being a success or failure.

Now, the the first condition for the experiment or survey to be termed as a binomial distribution is that there has to be a fixed number of attempts or trials.

We are told that 5 senators are randomly selected. This means that the number of trials is fixed and as such the first condition is met.

The second condition that has to be met for the experiment or survey to be termed as a binomial distribution is that the trials must be independent.

We are told that the senators are selected without replacement whether or not they had served 2 terms.

This implies that the selection is dependent and not independent as the probability will be different for all trials since there is no replacement. Thus, it does not meet the second condition.

Read more at; https://brainly.com/question/24208224