The amount of time taken by a bank teller to serve randomly arriving customers has a normal distribution with a mean of 2.5 minutes and a standard deviation of 30 seconds. (a) For two of the customers, what is the probability that both are served in 2 minute or less? (b) If four customers are served, what is the probability that at least one of them have serving time that exceeds 3 minutes?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The amount of time taken by a bank teller to serve randomly arriving customers has a normal distribution with a mean of 2.5 minutes and a standard deviation of 30 seconds.

(a) For two of the customers, what is the probability that both are served in 2 minute or less?
(b) If four customers are served, what is the probability that at least one of them have serving time that exceeds 3 minutes?

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