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13. An aviation engineer is tasked with redesigning an ejection seat for a fighter plane. The seat was designed for pilots weighing between 120 and
13. An aviation engineer is tasked with redesigning an ejection seat for a fighter plane. The seat was designed for pilots weighing between 120 and 171 pounds. The new population of pilots has normally distributed weights with a mean of 125 pounds and a standard deviation of 29.8 pounds. a. If one pilot is randomly selected, find the probability that her weight is between 120 and 171 pounds. b. If 31 pilots are randomly selected, find the probability that they have a weight with a mean between 120 and 171 pounds. 14. See's candies are one of the most popular chocolate companies in the world. During Halloween alone, they sell 90 million pounds of candy. The weights of their Scotchmallows are normally distributed with a mean of 0.8589 grams and a standard deviation of 0.0514 grams. A sample of Scotchmallows came from a package containing 445 chocolates, and the package label stated that the net weight is 379.9 grams. (If every package has 445 chocolates, ine chocolates must exceed 379.9/445 or 0.8536 grams for the net contents to weight at least
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