An elevator has a placard stating that the maximum capacity is

3800

lb26

passengers. So,

26

adult male passengers can have a mean weight of up to

3800/26=146pounds.

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

188lb

and a standard deviation of

26lb.

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

146

lb.b. Find the probability that a sample of

26

randomly selected adult males has a mean weight greater than

146

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