Q. 3 A service time (in minutes) of post office is exponentially distributed with λ = 0.2. (a) Suppose that no one is there, and that you get the service immediately. Find the probability that it takes more than 5 minutes to complete the business. (b) Suppose that someone else is in service ahead of you, and that you are next in line. Find the probability that you wait more than 5 minutes.

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Q. 3 A service time (in minutes) of post office is exponentially distributed with 2 = 0.2.
(a) Suppose that no one is there, and that you get the service immediately. Find the
probability that it takes more than 5 minutes to complete the business.
(b) Suppose that someone else is in service ahead of you, and that you are next in line. Find
the probability that you wait more than 5 minutes.
Transcribed Image Text:Q. 3 A service time (in minutes) of post office is exponentially distributed with 2 = 0.2. (a) Suppose that no one is there, and that you get the service immediately. Find the probability that it takes more than 5 minutes to complete the business. (b) Suppose that someone else is in service ahead of you, and that you are next in line. Find the probability that you wait more than 5 minutes.
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