In a study by Thomas et al. (A-14) the Poisson distribution was used to model the number of patients per month referred to an oncologist. The researchers use a rate of 15.8 patients per month that are referred to the oncologist. Use Table C in the Appendix and a rate of 16 patients per month to calculate the probability that in a month:

(a) Exactly 10 patients are referred to an oncologist

(b) Between five and 15 inclusive are referred to an oncologist

(c) More than 10 are referred to an oncologist

(d) Less than eight are referred to an oncologist

(e) Less than 12, but more than eight are referred to an oncologist