According to the records of an electric company serving the Boston area, the mea
ID: 2303262 • Letter: A
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 distribution with a mean of 1650 kilowatt-hours and a standard deviation of 320 kilowatt-hours.
Find the probability that the monthly electricity consumption during winter by a randomly selected household from this area is less than 1900 kilowatt-hours
Explanation / Answer
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 distribution with a mean of 1650 kilowatt-hours and a standard deviation of 320 kilowatt-hours.
Find the probability that the monthly electricity consumption during winter by a randomly selected household from this area is less than 1900 kilowatt-hours.
(round to four decimal places)
the tolerance is +/-2%
Normalcdf( -E99, 1900, 1650, 320) = 0.7827
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