The capacity of an elevator is 12 people or 1932 pounds. The
capacity will be exceeded if 12 people have weights greater than 1932/12=161
pounds. Suppose the people have weights than are normally distributed with a
mean of 168 lb and a standard deviation of 25 lb. What is the probability if a
person is randomly selected his weight will be greater than 161 pounds and what
is the probability that randomly selected people will have a mean that is
greater than 161 pounds.