### Well modeled by a gaussian random variable

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##### Reference no: EM131084134

Suppose that during the ith day of December, the energy Xi stored by a solar collector is well modeled by a Gaussian random variable with expected value 32 - i/4 kW-hr and standard deviation of 10 kW-hr. Assuming the energy stored each day is independent of any other day, what is the PDF of Y, the total energy stored in the 31 days of December?

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