The data below represent the distribution of daily sales for the #1 brand of cigarettes, Marlboro, at the highest-volume convenience store in Dallas, TX (data are slightly modified for this exercise). The store currently stocks 100 packs at the beginning of each day. A new inventory policy is being considered--stocking only 50 packs at the beginning of each day.

x_i p_i

10 0

15 0.007792

20 0.033766

25 0.088312

30 0.202597

35 0.223377

40 0.174026

45 0.114286

50 0.085714

55 0.046753

60 0.012987

65 0.007792

70 0.002597

75 0

What is the expected number of lost sales (per day) after implementing the new inventory policy?