A certain hospitalization policy pays a cash benefit for up to five days in the hospital. It pays $250 per day for the first three days and $150 per day for the next two. The number of days of hospitalization, X, is a discrete random variable with probability function P(X = k) = 1/15 (6 − k) for k = 1, 2, 3, 4, 5. Find Var(X).