The total number of forks dropped by customers per day at a busy restaurant is multimodal with a mean of 24.5 and a standard deviation of 3.3. If a random sample of 80 days is selected, what is the probability that the mean number of forks dropped during those days will be more than 25?

For a sample of 80 days, the Central Limit Theorem lets us approximate the sampling distribution of the mean as normal, even though the daily counts are multimodal. Its standard error is 3.3/√80 ≈ 0.369, so a mean of 25 has z-score (25 − 24.5)/0.369 ≈ 1.36. The probability of a z-score greater than 1.36 is about 0.088, so the answer is A) 0.088.

AI-written and checked against the verified answer.