Determine whether the given procedure results in a binomial distribution.

Question

If not, state the reason why.
Rolling a single die 57 times, keeping track of the numbers that are rolled.
(1 point)
Procedure results in a binomial distribution.
Not binomial: there are too many trials.
Not binomial: there are more than two outcomes for each trial.
Not binomial: the trials are not independent.

Answer 1

The procedure does not result in a binomial distribution. The reason is:

Not binomial: there are more than two outcomes for each trial.

In a binomial distribution, each trial must have exactly two possible outcomes (usually termed as "success" and "failure"). Rolling a single die has six possible outcomes (1, 2, 3, 4, 5, or 6), so it does not meet the criteria for a binomial distribution.