Question

Which of the following is a characteristic of an experiment where the binomial probability distribution is applicable?

1) The experiment consists of a fixed number of independent trials.
2) Each trial has two possible outcomes: success or failure.
3) The probability of success remains constant from trial to trial.
4) The trials are not equally likely to occur.

Answer 1

The characteristic of an experiment where the binomial probability distribution is applicable is that it consists of a fixed number of independent trials, each trial has two possible outcomes, and the probability of success remains constant from trial to trial.

Step-by-step explanation:

The characteristic of an experiment where the binomial probability distribution is applicable is:

1. The experiment consists of a fixed number of independent trials. For example, tossing a fair coin once would meet this characteristic since there is only one trial.
2. Each trial has two possible outcomes: success or failure. For example, in a multiple-choice question with four options, guessing correctly or guessing wrong are the two outcomes.
3. The probability of success remains constant from trial to trial. In other words, the probability of a success and the probability of a failure remain the same for each trial. For instance, if the probability of guessing correctly in a multiple-choice question is 0.25, it remains 0.25 for every trial.
4. The trials are not equally likely to occur is not a characteristic of an experiment where the binomial probability distribution is applicable.