What is the standard deviation of demand in pooled market


Question: Suppose your company desires to pool demand in two of its markets. Demand in the first market is forecast to be normally distributed with a mean of 200 and a standard deviation of 30. The second market demand is normally distributed with a mean of 100 and a standard deviation of 40. If the markets have independent demands, what is the standard deviation of demand in the pooled market?

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