Question: 7.6. Suppose that an electronic device has a life length X (in units of 1000 hours) which is considered as a continuous random variable with

7.6. Suppose that an electronic device has a life length X (in units of 1000 hours) which is considered as a continuous random variable with the following pdf: f(x) =

e, x > 0.

Suppose that the cost of manufacturing one such item is $2.00. The manufacturer sells the item for $5.00, but guarantees a total refund if X < 0.9. What is the manufacturer's expected profit per item?

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