Expect to spend in line before being served at checkout

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Reference no: EM133569722

Question

In Starlight Video, an Austin-based 24/7 DVD rental shop, the average rate of customer arrivals is 30 per hour and the standard deviation for the time between arrivals is 2 minutes. The checkout process, managed by a single employee, takes an average of 1.7 minutes per customer, with a standard deviation of 3 minutes. The arrival pattern is consistent throughout the day. The store operates on a first-come, first-served basis, and it is assumed that the queue for the checkout can be infinitely long without customers leaving the line due to impatience.

Given these conditions, what is the average waiting time a customer can expect to spend in line before being served at the checkout? Provide your answer in minutes, rounding to two decimal places if necessary.

Refer to the standard procedures for analyzing waiting times.

Reference no: EM133569722

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