Assignment:
The website for the Bed and Breakfast Inns of North America gets approximately seven visitors per minute. 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?
Provide complete and step by step solution for the question and show calculations and use formulas.