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Solved: Use the Poisson distribution to find the indicated

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

Solution for problem 10BSC 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 10BSC

Problem 10BSC

Use the Poisson distribution to find the indicated probabilities.

Earthquakes in the World Various sources provide different earthquake data, but assume that for a recent 41-year period in the world, there were 5469 earthquakes measured at 6.0 or higher on the Richter scale (based on U.S. Geological Survey data).

a. Find the mean number of earthquakes per year.

b. Find the probability >that in a given year, there are exactly 133 earthquakes that measures 6.0 or higher on the Richter scale.

c. If, in a particular year, there are exactly 133 earthquakes that measure 6.0 or higher on the Richter scale, would it make sense to report that this is a year with an unusual number of earthquakes? Why or why not?

Step-by-Step Solution:

Answer:

Step 1:

            Given that,Various sources provide different earthquake data, but assume that for a recent 41-year period in the world, there were 5469 earthquakes measured at 6.0 or higher on the Richter scale.

     

a). The mean number of earthquakes in the world measuring to a magnitude of 6 or higher is  

                             

                      earthquakes per year.

b). Consider a random variable “x” follows poisson distribution with sample size “n” and proportion “p”.

                     i,e.X P()

     Probability mass function of poisson distribution is given by

            P(x) = , x = 0,1,2,...,n.

            Where, e is a eulerian number.

                e = 2.71828. ( constant value)

          The probability that there are exactly 133 earthquakes in the world which measure 6 or higher using the richter scale is

              P(x = 133) =  

 c). No, although the probability that exactly 133 earthquakes occur within a year is very small (0.0346),the number 133 is very close to the mean of 133.4 that this year would be quite ordinary,and it is not unusual.    

               

Step 2 of 1

Chapter 5.5, Problem 10BSC is Solved
Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

This full solution covers the following key subjects: Earthquakes, Richter, Scale, higher, Find. This expansive textbook survival guide covers 121 chapters, and 3629 solutions. The full step-by-step solution to problem: 10BSC from chapter: 5.5 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM. Elementary Statistics was written by and is associated to the ISBN: 9780321836960. The answer to “Use the Poisson distribution to find the indicated probabilities.Earthquakes in the World Various sources provide different earthquake data, but assume that for a recent 41-year period in the world, there were 5469 earthquakes measured at 6.0 or higher on the Richter scale (based on U.S. Geological Survey data).a. Find the mean number of earthquakes per year.b. Find the probability >that in a given year, there are exactly 133 earthquakes that measures 6.0 or higher on the Richter scale.c. If, in a particular year, there are exactly 133 earthquakes that measure 6.0 or higher on the Richter scale, would it make sense to report that this is a year with an unusual number of earthquakes? Why or why not?” is broken down into a number of easy to follow steps, and 118 words. This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. Since the solution to 10BSC from 5.5 chapter was answered, more than 719 students have viewed the full step-by-step answer.

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Solved: Use the Poisson distribution to find the indicated