Wingard Credit Union is interested in understanding how long customers spend in front of the ATMs. Customer service times follow an Exponential distribution, with an average customer taking 1.5 minutes to complete a transaction. Calculate the probability that a customer will take less than half a minute. Additionally, calculate the probability that a customer will take more than 3 minutes.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
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Wingard Credit Union is interested in understanding how long customers spend in front of the ATMs. Customer service times follow an Exponential distribution, with an average customer taking 1.5 minutes to complete a transaction. Calculate the probability that a customer will take less than half a minute. Additionally, calculate the probability that a customer will take more than 3 minutes.

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