Final answer:
The student's question primarily concerns customer service strategy and time management within the business setting. For the scenarios presented, offering a shorter service or an alternative time slot are appropriate responses. Nevertheless, for the probability-related queries, additional details or data about the customer arrival rates are needed to give precise answers.
Step-by-step explanation:
When considering whether to turn away a guest who wants a 30-minute service but there is only a 15-minute time slot left, the best approach would typically be to suggest a different time slot (D) or offer a shorter service that can be completed within the available timeframe (C). However, to properly answer the student’s operational question, there are a few principles from the given information that can be applied:
- On average, how many minutes elapse between two successive arrivals? Based on Solution 5.11, one customer arrives every two minutes on average.
- When the store first opens, it takes six minutes on average for three customers to arrive, as one arrives every two minutes.
Now, regarding probabilities regarding customer arrival times:
- Find the probability that it takes less than one minute for the next customer to arrive after a customer has just arrived (C). Without additional data, one cannot accurately calculate this probability.
- Find the probability that it takes more than five minutes for the next customer to arrive after a customer has arrived (D). Like before, without specific details or a rate, calculating this probability is not precise.
To answer questions about probabilities c and d, one would typically need a rate of arrival or other specific details about the arrival times which would be linked with queue theory or customer service management concepts.
Therefore correct answer is C) Offer a shorter service.