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The life of a machine follows an exponential distribution with a mean of 4 years. A machine is changed as soon as it breaks down

The life of a machine follows an exponential distribution with a mean of 4 years. A machine is changed as soon as it breaks down or when it reaches 5 years. The price of a new machine is 10,000 soles, and the costs associated with a breakdown within 5 years are 1,500 soles.

Calculate the average cost per year: Answer

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