2.2-5. Let the random variable X be the number of days that a certain patient needs to be in the hospital. Suppose X has the pmf f(x) = 5-x 10 x = 1, 2, 3, 4. If the patient is to receive $200 from an insurance company for each of the first two days in the hospital and $100 for each day after the first two days, what is the expected payment for the hospitalization?

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