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Rainy days Imagine that we randomly select a day from the past 10 years. Let X be the
Chapter 6, Problem 48(choose chapter or problem)
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 mX and mY and the variances s2 X and s2 Y of both variables. (a) Is it reasonable to take the mean of the total rainfall X + Y to be mX + mY? Explain your answer. (b) Is it reasonable to take the variance of the total rainfall to be s2 X + s2 Y? Explain your answer.
Questions & Answers
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 mX and mY and the variances s2 X and s2 Y of both variables. (a) Is it reasonable to take the mean of the total rainfall X + Y to be mX + mY? Explain your answer. (b) Is it reasonable to take the variance of the total rainfall to be s2 X + s2 Y? Explain your answer.
ANSWER:Step 1 of 3
Given that,
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 their respective means are: 
