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 191 pounds and standard deviation 65 pounds, and the weights of adult U.S. women have mean 167

pounds and standard deviation 74

pounds. Use the TI-84 Plus calculator.If

60

people are riding the coaster, and their total weight is

12,000

pounds, what is their average weight?

The average weight is pounds.

Part 2 of 3

(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 .

Part 3 of 3

(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 coaster, the probability that the maximum safe weight will be exceeded is .