Question

Does rolling a single die 26 times and keeping track of the numbers rolled result in a binomial distribution? If not, state the reason why.

1) Yes, because the experiment has a fixed number of trials and each trial has two possible outcomes.
2) No, because the experiment does not have a fixed number of trials.
3) No, because the experiment does not have two possible outcomes.
4) No, because the experiment does not satisfy the requirements of a binomial distribution.

Answer 1

No, rolling a single die 26 times and keeping track of the numbers rolled does not result in a binomial distribution because the experiment does not have a fixed number of trials.

Step-by-step explanation:

No, rolling a single die 26 times and keeping track of the numbers rolled does not result in a binomial distribution. The experiment does not have a fixed number of trials. In a binomial distribution, there should be a specific and predetermined number of trials. Rolling a die multiple times does not have a fixed endpoint, as it is possible to keep rolling indefinitely. Therefore, the experiment does not satisfy the requirements of a binomial distribution.