In: Statistics and Probability
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?