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Suppose that the number of hurricanes formed during hurricane season in the Atlantic Ocean follows a Poisson distribution. The mean number of hurricanes during hurricane season averages 6.83 hurricanes per season. Complete parts (a) through (f).
A) What is the probability during the 2016 hurricane season, there will be exactly 3 hurricanes formed in the Atlantic? (Round to four decimal places.)
B) What is the probability that during the 2016 hurricane season, there will be exactly 9 hurricanes formed in the Atlantic? (Round to four decimal places.)
C) What is the probability that during the 2016 hurricane season, there will be 2 or fewer hurricanes formed in the Atlantic? (Round to four decimal places.)
D) What is the probability that during the 2016 hurricane season, there will be more than 4 hurricanes formed in the Atlantic? (Round to four decimal places.)
E) What is the probability that during the first half of the 2016 hurricane season, there will be no hurricanes formed in the Atlantic? (Round to four decimal places as needed.)
F) The mean number of hurricanes during hurricane season is _____ hurricanes, with a standard deviation of _____ hurricanes. (Round to two decimal places as needed).