The Hurricane Science Society is attempting to gather information about upcoming hurricanes. Due to climate change, scientists are predicting that more attention will be turned toward natural disasters in the future.The mean number of hurricanes to hit Florida per year is 0.8 over the last 50 years. (a) Calculate the probability that 1 hurricane will hit Florida (b) Calculate the probability that at most 2 hurricanes will hit Florida.(c) Calculate the probability that more than 3 hurricanes will hit Florida.

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The Hurricane Science Society is attempting to gather information about upcoming hurricanes. Due to climate change, scientists are predicting that more attention will be turned toward natural disasters in the future.The mean number of hurricanes to hit Florida per year is 0.8 over the last 50 years.

(a) Calculate the probability that 1 hurricane will hit Florida

(b) Calculate the probability that at most 2 hurricanes will hit Florida.(c) Calculate the probability that more than 3 hurricanes will hit Florida.

Expert Solution
Step 1

The mean number of hurricanes to hit Florida per year is 0.8 over the last 50 years.

Let X represents the number of Hurricanes hitting Florida

Average = λ = 0.8  per year

X represents Poisson distribution

The Poisson probability formula is

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