An elevator has a placard stating that the maximum capacity is 3800 lb-26 passengers. So, 26 adult male passengers can have a mean weight of up to 3800/26 = 146 pounds. Assume that weights of males are nor distributed with a mean of 182 lb and a standard deviation of 40 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 146 Ib. b. Find the probability that a sample of 26 randomly selected adult males has a mean weight greater than 146 Ib. c. What do you conclude about the safety of this elevator? a. The probability that 1 randomly selected adult male has a weight greater than 146 Ib is (Round to four decimal places as needed.) b. The probability that a sample of 26 randomly selected adult males has (Round to four decimal places as needed.) mean weight greater than 146 Ib is c. Does this elevator appear to be safe? O A. Yes, because 26 randomly selected adult male passengers will always be under the weight limit. O B. Yes, because there is a good chance that 26 randomly selected people will not exceed the elevator capacity. OC. No, because 26 randomly selected people will never be under the weight limit. O D. No, because there is a good chance that 26 randomly selected adult male passengers will exceed the elevator capacity.

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