Question

if
you carry out an experiement of repeatedly rolling a die and
recording the results. Would that be considered a binomial
distribution experiment?

Answer #1

A **binomial experiment** is an experiment which
satisfies these four conditions:

- A fixed number of trials
- Each trial is independent of the others
- There are only two outcomes
- The probability of each outcome remains constant from trial to trial.

For example. A fair six-sided die is rolled ten times, and the number of 6's is recorded. Is this a binomial experiment?

This is Binomial distribution. Because There are fixed number of trials (ten rolls), each roll is independent of the others, there are only two outcomes (either it's a 6 or it isn't), and the probability of rolling a 6 is constant.

Hope this will be helpful. Thanks and God bless you :)

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