2. Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive-up teller window occur at random, with an arrival rate of 24 customers per hour or 0.4 customer per minute. A Assume that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 36 customers per hour, or 0.6 customer per minute. Use the exponential probability distribution to answer the following questions: i. What is the probability the service time is one minute or less? ii. What is the probability the service time is two minutes or less?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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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2. Willow Brook National Bank operates a drive-up teller window that allows
customers to complete bank transactions without getting out of their cars. On
weekday mornings, arrivals to the drive-up teller window occur at random, with
an arrival rate of24 customers per hour or 0.4 customer per minute.
A Assume that the service times for the drive-up teller follow an exponential
probability distribution with a service rate of 36 customers per hour, or 0.6
customer per minute. Use the exponential probability distribution to answer the
following questions:
i. What is the probability the service time is one minute or less?
ii. What is the probability the service time is two minutes or less?
Transcribed Image Text:2. Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive-up teller window occur at random, with an arrival rate of24 customers per hour or 0.4 customer per minute. A Assume that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 36 customers per hour, or 0.6 customer per minute. Use the exponential probability distribution to answer the following questions: i. What is the probability the service time is one minute or less? ii. What is the probability the service time is two minutes or less?
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