Question: In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kWh and a standard deviation of 218kWh. \

a) If one home is selected at random, find the probability that its energy consumption for September was greater than 1075 kWh.

b) If 50 different homes are randomly selected, find the probability that their mean energy consumption level for September was greater than 1075kWh.