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In: Statistics and Probability

Customers arrive to the checkout counter of a convenience store according to a Poisson process at...

Customers arrive to the checkout counter of a convenience store according to a Poisson process at a rate of two per minute. Find the mean, variance, and the probability density function of the waiting time between the opening of the counter and the following events:

a. The arrival of the second customer.

b. The arrival of the third customer.

c. What is the probability that the third customer arrives within 6 minutes? You can use a computer if you’d like but you need to write down the integral with all of the numbers plugged in.

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