Question

Suppose that in order to save money, the Golden Eagles Nest dining area is considering limiting the number of cashiers to one even during peak hours, but before making that decision, wants to know how much congestion the reduction in cashiers would cause. Suppose that the average transaction takes thirty (30) seconds, so the cashier can handle at most two (2) customers per minute. Suppose that during peak hours, an average of 2.0 students visit the dining area per minute; what is the mean of the distribution?

Answer 1

The mean of the distribution is one customer arriving every 2 minutes.

Step-by-step explanation:

To find the mean of the distribution, we need to calculate the average time between two successive arrivals. Since we expect 30 customers to arrive per hour, we can convert this to minutes by dividing by 60. Therefore, we expect on average one customer to arrive every 2 minutes.