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Answer: Aircraft Accidents. Assume that the Poisson

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

Solution for problem 7BSC 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 7BSC Problem 7BSC

Aircraft Accidents. Assume that the Poisson distribution applies, assume that the mean number of aircraft accidents in the United States is8.5per month (based on data from the National Transportation and Safety Board), and proceed to find the indicated probability.

Find P(10), the probability that in a month, there will be 10 aircraft accidents. Is it unlikely to have a month with exactly 10 aircraft accidents?

Step-by-Step Solution:
Step 1 of 3

Problem 7BSC

Answer:

Step1 of 1:

We have the mean number of aircraft accidents in the United States is 8.5 per month.

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 = 2.71828.

We need to find P(10) = ?

Consider,

        P(x) = 

P(x = 10) =  

                =

                = 0.1103.

Having 10 aircraft accidents in a month not unlikely because 10 falls within the usual range of values given in number(5).

Step 2 of 3

Chapter 5.5, Problem 7BSC is Solved
Step 3 of 3

Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

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Answer: Aircraft Accidents. Assume that the Poisson