Question

Boxes are filled with flour by a machine that is set to deliver an average of 20.5 ounces. The weights are normally distributed with a standard deviation of 0.70 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 less than 20 ounces? If the consumer advocate plans to purchase 10 boxes of the product, then file suit against the company if more than 3 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?

Fig: 1