Boxes are filled with sugar by a machine that is set to deliver an average of 20.3 ounces. The weights are normally distributed with a standard deviation of 0.3 ounces. If a consumer advocate buys a package of the product and then proceeds to weigh the contents, what is the probability that the package she has purchased will have a content weight between 20 and 21 ounces? If the consumer advocate plans to purchase 100 boxes of the product, then file suit against the company if more than 5 of the boxes have content weights below the 20-ounce stated weight on the package, what is the probability that she will end up filing suit against the company?
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