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An elevator has a placard stating that the maximum capacity is 4101] lb2'rr passengers. So. 2] adult male passengers can have a mean weight of

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An elevator has a placard stating that the maximum capacity is 4101] lb2'rr passengers. So. 2]" adult male passengers can have a mean weight of up to 41UDI2? = 152 pounds. Assume that weights of males are normally distributed with a mean of 1T5 lb and a standard deviation of 31} lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 152 lb. b. Find the probability that a sample of2? randomly selected adult males has a mean weight greater than 152 lb. 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 152 lb is D. [Round to four decimal places as needed} b. The probability that a sample of 2]" randomly selected adult males has a mean weight greater than 152 lb is D. (Round to four decimal places as needed} c. Does this elevator appear to be safe? [:1 A. No. because 2? randomly selected people will never be under the weight limit. [:1 El. Yes. because there is a good chance that 2? randomly selected people will not exceed the elevator capacity. [:1 C. No. because there is a good chance that 2]" randomly selected adult male passengers will exceed the elevator capacity. [:1 D. Yes. because 2? randomly selected adult male passengers will always be under the weight limit

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