A popular clothing manufacturer receives Internet orders via two different routing systems. The time between orders for

Question:

A popular clothing manufacturer receives Internet orders via two different routing systems. The time between orders for each routing system in a typical day is known to be exponentially distributed with a mean of 3.2 minutes. Both systems operate independently.
(a) What is the probability that no orders will be received in a 5 minute period in a 10 minute period?
(b) What is the probability that both systems receive two orders between 10 and 15 minutes after the site is officially open for business?
(c) Why is the joint probability not needed to answer the previous questions?
Distribution
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