Rainy days imagine that we randomly select a day from the

Question

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 μ_X and μ_Y and the variances σ²_X and σ²_Y of both variables.

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

(b) Is it reasonable to take the variance of the total rainfall to be s²_X + s²_Y? Explain your answer.