The service times for customers coming through a checkout counter in a retail store are independent random variables with mean 1.5 minutes and the variance 1.0. Approximate the probability that 100 customers can be served in less than (a) 2 hours (b) 3 hours of total service time.

The service times for customers coming through a checkout counter in a retail store are independent random variables with mean 1.5 minutes and the variance 1.0. Approximate the probability that 100 customers can be served in less than (a) 2 hours (b) 3 hours of total service time.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

The service times for customers coming through a checkout counter in a retail store are independent
random variables with mean 1.5 minutes and the variance 1.0. Approximate the probability that 100
customers can be served in less than (a) 2 hours (b) 3 hours of total service time.

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