An airline is selling seats for a flight which has 100 seats. It intends to offer two fares, a $200 fare with no restrictions and a $100 fare with advanced purchase restrictions. Demands for both fare products for this flight are uncertain, but each is expected to be normally distributed with an expected value of 50 pax and a standard deviation of 10 pax. a. If the flight will have a single cabin mixing $200 and $100 passengers, how many seats should the airline set aside from $200 passengers? b. If the flight will have two cabins, one for each fair class, how many seats should it provide in each cabin