Many clubs and companies around the country offer hot-air balloon rides. Most impose strict safety regulations and take at most four adults at one time, plus a pilot. The mean weight for an adult male in the United States is 195.5 pounds.28 Suppose the distribution is normal with a standard deviation of 30 pounds

a. If a hot-air balloon pilot (an adult male) takes three adult males for a ride, what is the distribution for the total weight aboard, T? Carefully sketch the probability distribution for T.

b. If the total weight is less than 900 pounds, the pilot will have enough fuel to extend the ride by a few minutes. What is the probability of an extended ride?

c. If the total weight is over 975 pounds, then the balloon will not be able to take off. What is the probability that the balloon will not be able to take off?

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