Why does the formula for the standard deviation of lead


Question: Suppose the demands in successive weeks for your product are normally distributed with mean 100 and standard deviation 20, and suppose your lead time for receiving a placed order is three weeks. A quantity of interest to managers is the lead-time demand, the total demanded over three weeks. Why does the formula for the standard deviation of lead time demand include a square root of 3? What assumptions are behind this?

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Basic Statistics: Why does the formula for the standard deviation of lead
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