Determine whether the given procedure results in a binomial distribution.

Question

If not, state the reason why.
Rolling a single die 47 times, keeping track of the "fives" rolled.
(1 point)
Procedure results in a binomial distribution.
Not binomial: there are too many trials.
Not binomial: the trials are not independent.
Not binomial: there are more than two outcomes for each trial.

Answer 1

The procedure described 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, there are only two possible outcomes for each trial (often labeled as "success" and "failure"). In the case of rolling a die, there are six possible outcomes for each roll (1, 2, 3, 4, 5, and 6), which means that the trials do not meet the criteria for a binomial distribution.