=weight of oranges in a 5-lb bag ~ N(m,0.2); (a) How many customers get cheated, if E(X)=5? (proportion p=________?) (b) What should m equal so that (a) p<16%, (b) 2.5%, (c) 0.5% ? (d) If the cost of oranges to the packer is $0.35, what is the respective cost of meeting these constraints in a batch of 200 bags?

2. X=passengers on the 7am shuttle to DC ~ N(130,20) [X rounded to nearest integer] (a) How many customers get bumped if the capacity of the aircraft is 160? Show expression_________________ ; If the marginal profit is $100/riding passenger and the cost is $40/bumped passenger, then what is the profit if: (b) X=180 (c) X=200 (d) X=220 (e) what is the expected profit of this flight?