During the month of September, the most active month for hurricanes on the Atlantic side of the United States, an average of 2.4 hurricanes strike the US coastline (source: aoml.noaa.gov). Assume this average holds and that all the Poisson conditions are met.
a. What is the expected time, in days, between hurricanes during the month of September?
b. For the upcoming month of September, how likely is it that the first hurricane will occur more than two weeks into the month?