Suppose on the average 2 hurricanes form in the Atlantic Ocean per season. What is the probability that at least 5 Atlantic hurricanes occur during next season.
Write all probability values as numbers between 0 and 1. Use at least two decimals
Solution :
Given that ,
mean = = 2
Using Poisson probability formula,
P(X = x) = (e- * x ) / x!
P(X 5) = 1 - P(X < 5)
= 1 - [P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)]
= 1 - [(e-2 * 20) / 0! + e-2 * 21) / 1! +e-2 * 22) / 2! + e-2 * 23) / 3! + e-2 * 24) / 4!]
= 0.05265
Probability = 0.05265
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