According to the records of an electric company serving the Boston area, the mea

Question

According to the records of an electric company serving the Boston area, the mean electricity consumption during winter for all households month. Assume that the monthly electricity consumption during winter by all households in this area have a normal standard deviation of 320 kilowatt-hours. The company sent a notice to Bil 3ohnson informing him that about 70% of the households use less electricity per month than he does. What is Bill Johnson's monthly electricity consumption? distribution with a mean of 1650 killowatt-hours and a Round your answer to the nearest integer Bill Johnson's monthly electricity consumption is approximately the absolute tolerance is +-2

Explanation / Answer

Solution:-
P(X < x) = 0.70

P(Z < (x - 1650)/320) = 0.70

P(Z < (x - 1650)/320) = 0.70

=> (x - 1650)/320) = 0.5244

= x = 1650+(320*0.5244)

x = 1817.808

x = 1818

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