The amount of milk produced by dairy cows depends on number


The amount of milk produced by dairy cows depends on a number of factors, including average temperature and rainfall. A large dairy co-op forecasts that production of milk next month in its northern region will be normally distributed with a mean of 100,000 gallons and a standard deviation of 40, 100 gallons. Production next month in its southern region is forecasted to be normally distributed with a mean of 80, 500 and a standard deviation of 30, 700. The correlation between the two regions is 0.35. What is the mean production of the milk next month? What is the standard deviation of the production?

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