According the International Atomic Energy Agency, electricity per-capita consumption in Canada is 16,939 kwh in 2002. A random sample of 53 households is monitored for one year to determine electricity usage. If the population standard deviation of annual usage is 3,500 kwh, what is the probability that the sample mean will be each of the following?
a. More than 17,200 kwh
b. More than 17,500 kwh
c. Between 17,000 kwh and 18,000 kwh
d. Less than 15,000 kwh
e. Less than 16,000 kwh