Minitab was used to generate 20 random numbers with a Poisson distribution for (mu=4). Let the random
Question:
Minitab was used to generate 20 random numbers with a Poisson distribution for \(\mu=4\). Let the random number represent the number of arrivals at the checkout counter each minute for 20 minutes.
During each of the first four minutes, only three customers arrived. These customers could all be processed, so there were no customers waiting after four minutes.
(a) How many customers were waiting after 5 minutes? 6 minutes? 7 minutes? 8 minutes?
(b) Create a table that shows the number of customers waiting at the end of 1 through 20 minutes.
In Exercises 1–7, consider a grocery store that can process a total of four customers at its checkout counters each minute.
Queuing means waiting in line to be served. There are many examples of queuing in everyday life: waiting at a traffic light, waiting in line at a grocery checkout counter, waiting for an elevator, holding for a telephone call, and so on.
Poisson distributions are used to model and predict the number of people (calls, computer programs, vehicles) arriving at the line. In the exercises below, you are asked to use Poisson distributions to analyze the queues at a grocery store checkout counter.
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