Imagine that we randomly select a day from the past 10 years. Let X be the recorded
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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 σX2 and σY2 of both variables.
a. Can we calculate the mean of the total rainfall X + Y to be μX + μY? Explain your answer.
b. Can we calculate the variance of the total rainfall to be σX2 + σY2? Explain your answer.
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