The Learning Resource Center at College of Dupage in Glen
Ellyn, IL serves as an excellent resource for students, faculty
and community members. The Research and Planning department of the
college has determined that customers at the checkout desk are serviced at the rate of
10 customers per minute between the hours of 12:00 noon and 1:00
pm. In an effort to insure the quality of service and improve
staffing, an analysis shows that the criteria for a Poisson
process are met: the occurrences are random and uniformly
distributed over the interval, and the occurrences are independent
of each other. The following will be determined:

The probability that exactly 3 people will be serviced at the
checkout desk in one minute during that time.

The probability that less than 6 people will be serviced at the
checkout desk in one minute during that time.

The probability that at least 5 people will be serviced at the
checkout desk in one minute during that time.

View the
solutions.