Problem 4. (10 points) The amount of loss in a car accident has an exponential distribution with rate one. An insurance company applies a deductible of r, which means the following. If the amount of loss is less than or equal to r, then the customer pays out of his pocket and the company pays nothing. If the amount of loss exceeds r, then the customer pays the first r and the company pays the rest. Calculate the expected amount that the company has to pay to a customer in the event of an accident as a function of the deductible r