Roller master ride: 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 195 pounds and standard deviation 69 pounds, and the weights of adult U.5. women have mean 165 pounds and standard deviation 78 pounds- (a) If 60 people are riding the coaster, and their total weight is 12,000 pounds, what is their average weight? The average weight is [1 pounds. (b) If a random sample of 60 adult men ride the coaster, what is the probability that the maximum safe weight will be exceeded? Round the answer to at least four decimal places. If a random sample 60 adult men ride the coaster, the probability that the maximum safe weight will be exceeded is I] . (c) If a random sample of 60 adult women ride the coaster, what is the probability that the maximum safe weight will be exceeded? Round the answer to at least four decimal places. If a random sample 60' adult women ride the coasterr the probability that the maximum safe weight will be exceeded is D