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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola
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Solved: Aircraft Accidents. Assume that the Poisson

Chapter 5, Problem 6BSC

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QUESTION:

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

Find P(6), the probability that in a month, there will be 6 aircraft accidents. Is it unlikely to have a month with exactly 6 aircraft accidents?

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QUESTION:

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

Find P(6), the probability that in a month, there will be 6 aircraft accidents. Is it unlikely to have a month with exactly 6 aircraft accidents?

ANSWER:

Step 1 of 2

It is given that the mean number of aircraft accidents in the United States is 8.5 per month.

Here \(\mathrm{E}(\mathrm{x})=\mu=8.5\)

The probability that in a month, there will be 6 aircraft accidents.It is unlikely to have a month with exactly 6 aircraft accidents.

We have the mean number of aircraft accidents in the United States is \(\lambda=8.5\) per month.

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

\(i, e . X \sim P(\lambda)\)

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