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Recorded rainfall on the date at disney world

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Question: Rainy days Imagine that we randomly select a day from the past 10 years. Let X be the recorded rainfall on this date at the airport in Orlando, Florida, and Y be the recorded rainfall on this date at Disney World just outside Orlando. Suppose that you know the means μX and μY and the variances σ2X and σ2Y of both variables.

(a) Is it reasonable to take the mean of the total rainfall X + Y to be μX + μY? Explain your answer.

(b) Is it reasonable to take the variance of the total rainfall to be s2X + s2Y? Explain your answer.

Reference no: EM131762501

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