On average, the number of cases of tetanus reported in the U.S. during a single month is 4.5. Clearly state any assumptions you make to calculate these probabilities.

a. What is the probability of exactly one tetanus case being reported in a single month?

b. what is the probability that more than four tetanus cases will be reported in a single month?

c. If the number of tetanus cases is recorded for 36 months, what is the probability that the average number of cases for those 36 months is between 4.4 and 4.6?