An elevator has a placard stating that the maximum capacity is

3700

lb26

passengers. So,

26

adult male passengers can have a mean weight of up to

3700/26=142pounds.

Assume that weights of males are normally distributed with a mean of

178lb

and a standard deviation of

25lb.

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

142

lb.

b. Find the probability that a sample of

26

randomly selected adult males has a mean weight greater than

142

lb.

c. What do you conclude about the safety of this elevator?