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. Can we calculate the variance of the total rainfall to be σ²x + σ²y? Explain your answer.

A. No. The variance of the sum is not equal to the sum of the variances, because it is not reasonable to assume that X and Y are discrete.
B. No. The variance of the sum is not equal to the sum of the variances, because it is not reasonable to assume that X and Y are independent.
C. No. The variance of the sum is not equal to the sum of the variances, because it is not reasonable to assume that X and Y are approximately Normally distributed.