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?
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)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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
(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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VIEWStep 2: Calculate probability that both customer is served in 2 minute or less:
VIEWStep 3: Calculate probability that the customer has served time exceeding 3 minutes:
VIEWStep 4: Define binomial probability:
VIEWStep 5: Calculate the probability that at least one of 4 customer has a serving time that exceeds 3 minutes:
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