3. hurricane season consists of the 6 months from june to november. in any given hurricane season, there is a 50% chance that the gulf coast will be hit by at least one hurricane. assume that hurricanes arrive at the gulf coast according to a poisson process with rate λ using a time unit of months. (a) what is the value of λ? (b) what is the probability that two hurricanes will hit in the summer months (june - august)? (c) of hurricanes that make landfall, approximately 30% are considered major hurricanes, that is, hurricanes of category 3, 4, or 5. what is the probability that a major hurricane will hit the gulf coast in august or september?