Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 7.8 per year. a. Find the probability that, in a year, there will be 6 hurricanes. b. In a 45-year period, how many years are expected to have 6 ���hurricanes? c. How does the result from part (b) compare to a recent period of 45 years in which 5 years had 6 hurricanes? Does the Poisson distribution work well here?
Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 7.8 per year. a. Find the probability that, in a year, there will be 6 hurricanes. b. In a 45-year period, how many years are expected to have 6 ���hurricanes? c. How does the result from part (b) compare to a recent period of 45 years in which 5 years had 6 hurricanes? Does the Poisson distribution work well here?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 2E
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 7.8 per year.
a. Find the probability that, in a year, there will be 6 hurricanes.
b. In a 45-year period, how many years are expected to have 6 ���hurricanes?
c. How does the result from part (b) compare to a recent period of 45 years in which 5 years had 6 hurricanes? Does the Poisson distribution work well here?
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