An elevator has a placard stating that the maximum capacity is

1600

lb10

passengers. So,

10

adult male passengers can have a mean weight of up to

1600/10=160pounds.

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

160

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

163lb

and a standard deviation of

34lb.