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The time it takes for you to run around a pond near your house is uniformly...

The time it takes for you to run around a pond near your house is uniformly distributed between 30 and 40 minutes on sunny days, and uniformly distributed between 40 and 60 minutes on rainy days. Assume that a day is sunny with probability 2/3 and rainy with probability 1/3. Find the mean, and the variance of the time it takes for your run.

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