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Tornadoes During a recent 46-year period, New York State

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 2BSC Chapter 5.5

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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Problem 2BSC

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?

Step-by-Step Solution:

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

and

V(X) = σ2 = μ

Then the mean of the formula is  

E(X) = μ=  

E(X) = μ = 4.217 

Therefore the mean μ =4.217

Then the standard deviation is given by

σ =

σ =

σ = 2.053

σ  2.1

Hence the standard deviation σ = 2.1

The variance of the formula is given by

V(X) = σ2 = μ

V(X) = σ2 = 4.217

Therefore the variance is V(X) = 4.217

Step 2 of 1

Chapter 5.5, Problem 2BSC is Solved
Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

Since the solution to 2BSC from 5.5 chapter was answered, more than 1080 students have viewed the full step-by-step answer. This full solution covers the following key subjects: tornadoes, York, new, state, such. This expansive textbook survival guide covers 121 chapters, and 3629 solutions. Elementary Statistics was written by and is associated to the ISBN: 9780321836960. The full step-by-step solution to problem: 2BSC from chapter: 5.5 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM. This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. The answer to “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?” is broken down into a number of easy to follow steps, and 73 words.

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