68. The mean weight of luggage checked by a randomly selected tourist-class passenger ying between two cities on a certain airline is 40 lb, and the standard deviation is 10 lb. The mean and standard deviation for a business-class passenger are 30 lb and 6 lb, respectively.
a. If there are 12 business-class passengers and 50 tourist-class passengers on a particular ight, what are the expected value of total luggage weight and the standard deviation of total lug- gage weight?
b. If individual luggage weights are independent, normally distributed rv s, what is the probability that total luggage weight is at most 2500 lb?
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