Roller master ride: A roller master 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 ofadult U.S. men have mean 190 pounds and standard deviation 64 pounds, and the weights of adult U.S. women have mean 1.66 pounds and standard deviation T3 pounds. Use the 11-84 Plus calculator. (a) If 60 people are riding the coaster, and theirtotal weight is 12,000 pounds, what is their average weight? The average weight is [3 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. Ifa random sample 60 adult men ride the coaster, the probability that the maximum safe weight will be exceeded is D . S] (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 answerto at least four decimal places. Ifa random sample 60 adult women ride the coaster, the probability that the maximum safe weight will be exceeded is D. E