   # 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? 13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

#### Solutions

Chapter
Section 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.

### Explanation of Solution

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,

f(x)=μexμ

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.

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