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A Homeowner Has Installed a New Energy-Efficient Furnace

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A homeowner has installed a new energy-efficient furnace.It is estimated that over a year the new furnace will reduce energy costs by an amount that can be regarded as a random variable with a mean of $265 and standard deviation of $55.Stating any assumptions you need to make,find the mean and standard deviation of the total energy costs reductions over a period of 5 years.

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