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Get Full Access to Applied Statistics And Probability For Engineers - 6 Edition - Chapter 4.8 - Problem 122e
Get Full Access to Applied Statistics And Probability For Engineers - 6 Edition - Chapter 4.8 - Problem 122e

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# The number of stork sightings on a route in South Carolina

ISBN: 9781118539712 55

## Solution for problem 122E Chapter 4.8

Applied Statistics and Probability for Engineers | 6th Edition

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Problem 122E

Problem 122E

The number of stork sightings on a route in South Carolina follows a Poisson process with a mean of 2.3 per year.

(a) What is the mean time between sightings?

(b) What is the probability that there are no sightings within three months (0.25 years)?

(c) What is the probability that the time until the first sighting exceeds six months?

(d) What is the probability of no sighting within three years?

Step-by-Step Solution:

Solution

Step 1 of 4

Let X be the distance between the successive events is a poisson process

with mean no.of events

And X is exponential with

a) We have to find the mean time between sightings

Then mean=

=

= 0.4348

Hence the mean time between sightings is 0.4348

Step 2 of 4

Step 3 of 4

##### ISBN: 9781118539712

This full solution covers the following key subjects: Probability, sightings, mean, within, Months. This expansive textbook survival guide covers 97 chapters, and 2005 solutions. Since the solution to 122E from 4.8 chapter was answered, more than 920 students have viewed the full step-by-step answer. The answer to “The number of stork sightings on a route in South Carolina follows a Poisson process with a mean of 2.3 per year.(a) What is the mean time between sightings?(b) What is the probability that there are no sightings within three months (0.25 years)?(c) What is the probability that the time until the first sighting exceeds six months?(d) What is the probability of no sighting within three years?” is broken down into a number of easy to follow steps, and 67 words. Applied Statistics and Probability for Engineers was written by and is associated to the ISBN: 9781118539712. The full step-by-step solution to problem: 122E from chapter: 4.8 was answered by , our top Statistics solution expert on 07/28/17, 07:57AM. This textbook survival guide was created for the textbook: Applied Statistics and Probability for Engineers , edition: 6.

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