Determine whether the given procedure results in a binomial distribution. If not, state the reason why. Rolling a single die 26 times, keeping track of the numbers that are rolled A. Not binomial: the trials are not independent. B. Not binomial: there are too many trials. D. The procedure results in a binomial distribution.

To determine whether the given procedure results in a binomial distribution, we need to check if it meets the four conditions for a binomial distribution: 1. The experiment consists of a fixed number of repeated trials. 2. Each trial has two possible outcomes: success or failure. 3. The probability of success is the same for each trial. 4. The trials are independent. Let's analyze the given procedure: 1. The experiment consists of rolling a single die 26 times. This means there is a fixed number of repeated trials, so this condition is met. 2. Each trial has two possible outcomes: rolling a number from 1 to 6. This condition is met as well. 3. The probability of success (rolling any specific number) is the same for each trial. Since the die is fair, the probability of rolling any specific number (e.g., 1, 2, 3, 4, 5, or 6) is 1/6. This condition is met. 4. The trials are independent. Rolling a die one time does not affect the outcome of rolling it again. Therefore, the trials are independent, and this condition is met. Since all four conditions for a binomial distribution are met, the given procedure results in a binomial distribution. The correct answer is: D. The procedure results in a binomial distribution.