In a company, a mechanic maintains four very important machines in a production process, which usually break down on average every 10 hours. This time between breakdowns has an exponential distribution. The mechanic spends on average 7 hours repairing a loom and its repair time also has an exponential distribution. Determine the average time a machine spends waiting for maintenance.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 35EQ
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In a company, a mechanic maintains four very important machines in a production process, which usually break down on average every 10 hours. This time between breakdowns has an exponential distribution. The mechanic spends on average 7 hours repairing a loom and its repair time also has an exponential distribution. Determine the average time a machine spends waiting for maintenance.
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