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, z.o.w.

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?