95 Customer arrivals at a bakery. As part of a project targeted at improving the services of a local bakery, a management consultant (L. Lei of Rutgers University) monitored customer arrivals for several Saturdays and Sundays. Using the arrival data, she estimated the average number of customer arrivals per 10-minute period on Saturdays to be 6.2.

She assumed that arrivals per 10-minute interval followed the Poisson distribution in the table below, some of whose values are missing.

a. Compute the missing probabilities.

b. Graph the distribution.

c. Find m and s, and show the intervals m { s, m { 2s, and m { 3s on your graph of part b .

d. The owner of the bakery claims that more than 75 customers per hour enter the store on Saturdays. On the basis of the consultant’s data, is this likely? Explain.

Transcribed Image Text:

Table for Exercise 95 x 0 1 2 3 4 5 p(x) .002 .013 .081 .125 .155 - 8 9 10 11 12 13 .142 .110 .076 .026 .014 .007 Based on Lei, L. Dorsi's Bakery: Modeling Service Operations. Graduate School of Management, Rutgers University, 1993.