Final answer:
Without direct data, we cannot conclude that the mean number of customers using the self-checkout system is more than 100 per day. The question's context and statistical patterns described are not sufficient to establish such a specific average.
Step-by-step explanation:
The original question is asking whether we can conclude that the mean number of customers using the self-checkout system is more than 100 per day. Based on the provided information, there isn't direct evidence to support this conclusion. There are several pieces of data related to customer behavior and patterns, but none directly state the average number over 100. For instance:
- Understanding the time elapsed between successive arrivals can help estimate the customer flow, but it doesn't confirm the exact mean number of customers.
- The statement that when the store opens, it takes on average six minutes for three customers to arrive, indicates the speed of customer arrival but doesn't extrapolate to the total daily count.
- The probabilities of getting certain numbers of customers within specific time frames can suggest trends in customer behavior but don't equal the mean unless calculations are made for the entire day.
- Information about the distribution model used (Poisson or exponential) can dictate the calculation method for determining customer count averages but does not provide the average itself.
Therefore, without explicit data or a specified context for interpretation, none of the provided answer choices can be concluded as correct with regard to the average number being more than 100 customers per day. The correct approach would be to gather more specific data or apply the given probabilities and distribution models to compute the average number.