A roller coaster is being designed that will accommodate 60 riders. The maximum weight the coaster can
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A roller coaster is being designed that will accommodate 60 riders. The maximum weight the coaster can hold safely is 12,000 pounds. According to the National Health Statistics Reports, the weights of adult U.S. men have mean 194 pounds and standard deviation 68 pounds, and the weights of adult U.S. women have mean 164 pounds and standard deviation 77 pounds.
a. If 60 people are riding the coaster, and their total weight is 12,000 pounds, what is their average weight?
b. If a random sample of 60 adult men ride the coaster, what is the probability that the maximum safe weight will be exceeded?
c. If a random sample of 60 adult women ride the coaster, what is the probability that the maximum safe weight will be exceeded?
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