Stated weight on the package

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Reference no: EM13975381

1. The precooked weight of hamburgers at a gourmet hamburger restaurant has been normally distributed with a mean of 5.5 ounces and a standard deviation of 0.15 ounces. A dining-column journalist from the local newspaper enters the restaurant and orders a hamburger. What is the probability that he will receive a hamburger that had a precooked weight less than 5.3 ounces? If, in a separate visit to the restaurant, the journalist is accom- panied by three colleagues who also order a hamburger, what is the probability that at least 2 of these 4 customers will receive a hamburger that had a precooked weight greater than 5.7 ounces?

2. 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?

Reference no: EM13975381

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