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 (some of whose values are missing) shown at the bottom of the page.

a. Compute the missing probabilities.

b. Plot the distribution.

c. Find p and u and plot the intervals p +

a, p + 2u, and p f 3u on your plot of part b.

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