A certain area of eastern United State is, on average, hit by 6 hurricanes year according to the Poisson process. Determine the probability that for the given year that the area will be hit by
a) Fewer than 4 hurricanes
b) Anywhere from 6 to 8 hurricanes
Given that the area has being hit during the first 6 months of a given year by 2 hurricanes
c) The probability that the area will be hit that year by more than 4 hurricanes
d) The expected number of hurricanes that will hit the area that year