An elevator has a placard stating that the maximum capacity is

40004000

lblong dash2727

passengers. So,

2727

adult male passengers can have a mean weight of up to

4000 divided by 27 equals 148 pounds.4000/27=148pounds.

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

190 lb190lb

and a standard deviation of

26 lb26lb.

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

148148

lb.b. Find the probability that a sample of

2727

randomly selected adult males has a mean weight greater than

148148

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