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An elevator has a placard stating that the maximum capacity is 4100 lb-27 passengers. So, 27 adult male passengers can have a mean
weight of up to 4100/27 = 152 pounds. Assume that weights of males are normally distributed with a mean of 181 lb and a standard deviation
of 29 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 of 27 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
(Round to four decimal places as needed.)

Sagot :

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