A bank teller serves customers standing in line. Based on prior data, the average service time per customer is 4 minutes. That is, on average the teller can complete their transaction with a customer in 4 minutes. The standard deviation is 1.2 minutes. Let Y be the time to serve 40 customers. Compute: The probability that the total waiting time to serve 40 customers is between 145 and 170 minutes and The probability that the total waiting time to serve 40 customers is less than 160 minutes

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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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A bank teller serves customers standing in line. Based on prior data, the average service time per customer is 4 minutes.  That is, on average the teller can complete their transaction with a customer in 4 minutes.  The standard deviation is 1.2 minutes.  Let Y be the time to serve 40 customers. 

  1.   Compute: The probability that the total waiting time to serve 40 customers is between 145 and 170 minutes and The probability that the total waiting time to serve 40 customers is less than 160 minutes
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