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In: Statistics and Probability

A government entity sets a Food Defect Action Level​ (FDAL) for the various foreign substances that...

A government entity sets a Food Defect Action Level​ (FDAL) for the various foreign substances that inevitably end up in the foods we eat. The FDAL level for insect filth in peanut butter is 0.9 insect fragment​ (larvae, eggs, body​ parts, and so​ on) per gram. Suppose that a supply of peanut butter contains 0.9 insect fragment per gram. Compute the probability that the number of insect fragments in a 9​-gram sample of peanut butter is

​(a) exactly six. Interpret the results.

​(b) fewer than six. Interpret the results. ​

(c) at least six. Interpret the results.

​(d) at least one. Interpret the results.

​(e) Would it be unusual for a 9​-gram sample of this supply of peanut butter to contain eight or more insect​ fragments?

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