Assume that the Poisson distribution applies and that the

Last updated: 4/24/2023

Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 5 9 per year a Find the probability that in a year there will be 4 hurricanes b In a 35 year period how many years are expected to have 4 hurricanes c How does the result from part b compare to a recent period of 35 years in which 4 years had 4 hurricanes Does the Poisson distribution work well here a The probability is 0 16 Round to three decimal places as needed b The expected number of years with 4 hurricanes is 5 6 Round to one decimal place as needed c The result from part b is close to the number of hurricanes in the recent period of 35 years so the Poisson distribution does appear to work well in the given situation