According to the records of an electric company serving the Boston area, the mean electricity consumption for

Question:

According to the records of an electric company serving the Boston area, the mean electricity consumption for all households during winter is 1650 kilowatt-hours per month. Assume that the monthly electricity consumptions during winter by all households in this area have a normal with a mean of 1650 kilowatt-hours and a standard deviation of 320 kilowatt-hours.
a. Find the probability that the monthly electricity consumption during winter by a randomly selected household from this area is less than 1950 kilowatt-hours.
b. What percentage of the households in this area have a monthly electricity consumption of 900 to 1300 kilowatt-hours?
Distribution
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