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Tornadoes During a recent 46-year period, New York State
Chapter 5, Problem 2BSC(choose chapter or problem)
Problem 2BSC
Tornadoes During a recent 46-year period, New York State had a total of 194 tornadoes that measured 1 or greater on the Fujita scale. Let the random variable x represent the number of such tornadoes to hit New York State in one year, and assume that it has a Poisson distribution. What is the mean number of such New York tornadoes in one year? What is the standard deviation? What is the variance?
Questions & Answers
QUESTION:
Problem 2BSC
Tornadoes During a recent 46-year period, New York State had a total of 194 tornadoes that measured 1 or greater on the Fujita scale. Let the random variable x represent the number of such tornadoes to hit New York State in one year, and assume that it has a Poisson distribution. What is the mean number of such New York tornadoes in one year? What is the standard deviation? What is the variance?
ANSWER:Answer :
Step 1 of 1
Given
Tornadoes During a recent 46-year period, New York State had a total of 194 tornadoes that measured 1 or greater on the Fujita scale.
So, n=194 and x = 46
Let the random variable x represent the number of such tornadoes to hit New York State in one year.
Then we assume that it has a Poisson distribution.
Let the mean number of such New York tornadoes in one year.
If μ is the average number of successes occurring in a given time interval or region in the Poisson distribution, then the mean and the variance of the Poisson distribution are both equal to μ.
E(X) = μ