The website for the Bed and Breakfast Inns of North America gets approximately seven visitors per minute

Question:

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?

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