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13th Edition

Anderson

Publisher: CENGAGE L

ISBN: 9781305881884

Chapter 6, Problem 52SE

Textbook Problem

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The website for the Bed and Breakfast Inns of North America gets approximately seven visitors per minute (*Time,* September 2001). Suppose the number of website visitors per minute follows a Poisson probability distribution.

- a. What is the mean time between visits to the website?
- b. Show the exponential probability density function for the time between website visits.
- c. What is the probability no one will access the website in a 1-minute period?
- d. What is the probability no one will access the website in a 12-second period?

**a.**

To determine

Find the mean time.

**Calculation:**

The Bed and Breakfast Inns of North America website has approximately seven visitors per minute. The number of website visitors follows an exponential distribution.

The Exponential probability density function is,

**b.**

To determine

Obtain the probability density function for time between visitors.

**c.**

To determine

Find the probability that no one will visit the website in 1 minute period.

**d.**

To determine

Find the probability that no one will visit the website in 12 seconds period.

STATISTICS F/BUSINESS+ECONOMICS-TEXT

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