A binomial experiment is performed a fixed number of times. What is each repetition of the experiment​ called? Choose the correct answer below. A. Each repetition of the experiment is called a success. B. Each repetition of the experiment is called a mean. C. Each repetition of the experiment is called a binomial random variable. D. Each repetition of the experiment is called a trial.

Answer :

Answer:

D. Each repetition of the experiment is called a trial.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials(experiments), and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

So the correct answer is:

D. Each repetition of the experiment is called a trial.

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