An elevator has a placard stating that the maximum capacity is \( 4300 \mathrm{lb}-28 \) passengers. So, 28 adult male passengers can have a mean weight of up to \( 4300 / 28=154 \) pounds. Assume that weights of males are normally distributed with a mean of 183 lb and a standard deviation of 38 lb . a. Find the probability that 1 randomly selected adult male has a weight greater than 154 lb . b. Find the probability that a sample of 28 randomly selected adult males has a mean weight greater than 154 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 154 lb is 0.7764 . (Round to four decimal places as needed.) b. The probability that a sample of 28 randomly selected adult males has a mean weight greater than 154 lb is (Round to four decimal places as needed.)
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