1. The student health center at Oklahoma State University in Stillwater treats an average of 10 cases of severe alcohol poisoning a semester. Assuming a Poisson distribution, find the probability that
a. that the health center treats twelve cases of severe alcohol poisoning a semester.
b. the health center treats fewer than 5 cases of severe alcohol poisoning a semester.
c. the health center treats more than 15 cases of severe alcohol poisoning a semester.