Question: The time required by a mechanic to repair a machine has an exponential distribution with a mean of 4 hours. However, a special tool would

The time required by a mechanic to repair a machine has an exponential with a mean of 4 hours. However, a special tool would reduce this mean to 2 hours. If the mechanic repairs a machine in less than 2 hours, he is paid $100; otherwise, he is paid $80. Determine the mechanic’s expected increase in pay per machine repaired if he uses the special tool.

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