Suppose a small, propellered sea-plane flown by Captain Sita seats 4 passengers. Assume that the airplane is completely full and that the passengers are chosen randomly from the customer population. Assume that the average weight of passengers in the customer population is 195 pounds in the Winter with a standard deviation of 30 pounds. Note that if the airplane is overweight some of the passengers' luggage might be left behind. a) Determine the probability that the actual average weight of the passengers is between 5 and 15 percent greater than the average weight in the customer population. Be sure to show your work!

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