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Get Full Access to Elementary Statistics - 12 Edition - Chapter 5.5 - Problem 5bsc
Get Full Access to Elementary Statistics - 12 Edition - Chapter 5.5 - Problem 5bsc

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# Aircraft Accidents. Assume that the Poisson distribution

ISBN: 9780321836960 18

## Solution for problem 5BSC Chapter 5.5

Elementary Statistics | 12th Edition

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Problem 5BSC

Problem 5BSC

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(0), the probability that in a month, there will be no aircraft accidents. Is it unlikely to have a month with no aircraft accidents?

Step-by-Step Solution:

Step 1:

The poisson distribution is applies,assume that the mean number of aircraft accidents in the United States is 8.5 per month.

The mean and variance of poisson distribution is same. That is ‘

Therefore

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)

Here we have to find P(0), the probability that in a month, there will be no aircraft accidents.

Using the formula for Probability mass function of poisson distribution, we have

P(x = 0) =  = 0.000203.

Yes, it is unlikely to have a month with no aircraft accident since the usual number of aircraft accidents.

Using the range rule of thumb,

Minimum = μ – 2σ

= 8.5 - 2()

= 2.66 accidents.

Maximum = μ + 2σ

=8.5 + 2()

= 14.33 accidents.

Step 2 of 1

##### ISBN: 9780321836960

This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. Elementary Statistics was written by and is associated to the ISBN: 9780321836960. This full solution covers the following key subjects: accidents, aircraft, month, assume, Probability. This expansive textbook survival guide covers 121 chapters, and 3629 solutions. The answer to “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(0), the probability that in a month, there will be no aircraft accidents. Is it unlikely to have a month with no aircraft accidents?” is broken down into a number of easy to follow steps, and 63 words. Since the solution to 5BSC from 5.5 chapter was answered, more than 906 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 5BSC from chapter: 5.5 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM.

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Aircraft Accidents. Assume that the Poisson distribution