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A website manager has noticed that during the evening​ hours, about 2 people per minute check out from their shopping cart and make an online purchase. She believes that each purchase is independent of the others.

​a) What model might you suggest to model the number of purchases per minute​?
​b) What model would you use to model the time between​ events?
​c) What is the mean time between​ purchases?
​d) What is the probability that the time to the next purchase will be between 3 and 7 minutes?

This distribution can be modeled by a Poisson process.

 An exponential model can be used to model time between events. 

The mean time between purchases is 1/lamda , = 1/2 = 0.5

Use the exponential function in Excel to find the probability

=EXPON.DIST(7,2,TRUE) - EXPON.DIST(3,2,TRUE)  = 0.0025

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