Customers arrive at a department store according to a Poisson process with an average of 12...

Customers arrive at a department store according to a Poisson process with an average of 12 per hour.

a. What is the probability that 3 customers arrive between 12:00pm and 12:15pm?

b. What is the probability that 3 customers arrive between 12:00pm and 12:15pm and 6 customers arrive between 12:30pm and 1:00pm?

c. What is the probability that 3 customers arrive between 12:00pm and 12:15pm or 6 customers arrive between 12:30pm and 1:00pm?

d. What is the probability that a total of 10 customers arrive between 12:00pm and 12:15pm and 12:45pm and 1:00pm? That is, the total count is 10 for both of these time intervals combined.

Expert Solution

orchestra answered 2 years ago

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