State the criteria for a binomial probability experiment

choose the correct answer below. select all that apply.

(a) Each Trial has two possible mutually exclusive outcomes: success and failure.

(b) the experiment consists of a fixed number, n, of trials.

(c) The probability of success, p, remains constant for each trial of the experiment.

(d) The trials are independent.

Correct options: (a), (b), (c) and (d).

Step-by-step explanation:

A Binomial experiment is a series of repeated trials where each trial has only two outcomes; Success (S) or Failure (F).

The binomial experiment consists of a fixed number of trials, usually denoted by n.

Each and every trial can either be a success or a failure not both. That is, the trials have mutually exclusive outcomes.

Each trial of the experiment has an equal and constant probability of success.

The outcome of every trial is independent of the others, i.e. if the nth trial is a success then the outcome of the (n + 1)th trial can either be a success or a failure, irrespective of the previous trial outcome.

Consider a Binomial experiment;

Tossing a coin.

A particular toss of a coin has two outcomes; Heads or Tails.

Let us consider Heads as the success.

The probability of success is 0.50, since there are only two outcomes of tossing a coin.

The experiment can be repeated for a fixed number of times. Each toss of a coin can either be a heads or tails irrespective of the other tosses.

Thus, all the options are correct.