Coastal businesses in the Atlantic provinces worry about the threat of hurricanes during the season from June through October. Suppose the arrival of hurricanes during this season is Poisson distributed, with an average of 3 hurricanes threatening Atlantic Canada during the 5-month season.

A. If a hurricane has just threatened the Atlantic provinces, what is the probability that at least 1 month will pass before this happens again?

B. What is the probability that another hurricane will threaten in 1/2 month or less?

C. What is the average amount of time between hurricanes threatening Atlantic Canada?