Question: An elevator has a placard stating that the maximum capacity is 2560 lb16 passengers. So, 16 adult male passengers can have a mean weight of

An elevator has a placard stating that the maximum capacity is 2560 lb16 passengers. So, 16 adult male passengers can have a mean weight of up to 2560/16=160pounds. Assume that the weights of males are normally distributed with a mean of

165lb and a standard deviation of 31lb.

a. Find the probability that 1 randomly selected adult male has a weight greater than 160 lb.

b. Find the probability that a sample of 16 randomly selected adult males has a mean weight greater than

160 lb.

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