On September 18, 2003, hurricane Isabel struck the North Carolina Coast, causing extensive damage. For several days prior to reaching land the National Hurricane Center had been predicting the hurricane would come on shore between Cape Fear, North Carolina, and the North Carolina-Virginia border. It was estimated that the probability the hurricane would actually strike in this area was .95. In fact, the hurricane did come on shore almost exactly as forecast and was almost in the center of the strike area. Picture The National Hurricane Center forecasts that the hurricane will hit the strike area with a probability of .95.
(a) What probability distribution does this follow?
(b) What is the probability that 10 hurricanes come on shore in the strike area?
(c) What is the probability at least one of 10 hurricanes reaches land outside the strike area?