An elevator has a placard stating that the maximum capacity is

1760

lblong dash

10

passengers. So,

10

adult male passengers can have a mean weight of up to

1760 divided by 10 equals 176 pounds.

If the elevator is loaded with

10

adult male passengers, find the probability that it is overloaded because they have a mean weight greater than

176

lb. (Assume that weights of males are normally distributed with a mean of

178 lb

and a standard deviation of

31 lb

.)

Does this elevator appear to be safe?