According to the records of an eletric company sering the boston area, the monthly electric consumption during winter for all households is normally distributed, with a mean of 1650 kilowatt-hours and a standard deviation of 320 kilowatt-hours. use the Emprical rule to answer the following .
a) Draw the curve and label the distribution around the mean.
b) Find the probability a randomly selected household has montly energy consumption between 690 and 2290 kilowatt-hours.
c) The 2.5% of households with the lowest monthly energy consumption qualify for a rebate. How low must a household's monthly energy consumtion be to qualify for this rebate?