The number of customers who arrive at a fast food business during a one-hour period is known to be Poisson distributed with a mean equal to 8.60. The probability that more than 4 customers will arrive in a 30-minute period is 0.1933.

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The Poisson distribution parameter (mean) for a 30-minute period would be half of the hourly rate, i.e., 8.60 / 2 = 4.30. The probability of more than 4 customers arriving in this period would generally be higher than 0.1933, as the Poisson distribution would predict a significant chance of getting a number of arrivals around the mean (4.30), and the probability of getting more than 4 would include the sum of probabilities of getting 5, 6, and so on, which would likely be higher than 0.1933.

The Number of Customers Who Arrive at a Fast Food