In a certain population an average of 13 new cases of esophageal cancer are diagnosed each year. If the annual incidence of esophageal cancer follows a Poisson distribution, find the probability that in a given year the number of newly diagnosed cases of esophageal cancer will be:

(a) Exactly 10

(b) At least eight

(c) No more than 12

(d) Between nine and 15, inclusive

(e) Fewer than seven