The Food and Drug Administration sets a Food Defect Action Level (FDAL) for the various foreign substances

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The Food and Drug Administration sets a Food Defect Action Level (FDAL) for the various foreign substances that inevitably end up in the food we eat and liquids we drink. For example, the FDAL level for insect filth in peanut butter is 0.3 insect fragment (larvae, eggs, body parts, and so on) per gram. Suppose that a supply of peanut butter contains 0.3 insect fragment per gram. Compute the probability that the number of insect fragments in a 5-gram sample of the peanut butter is

(a) Exactly two. Interpret the result.

(b) Fewer than two. Interpret the result.

(c) At least two. Interpret the result.

(d) At least one. Interpret the result.

(e) Would it be unusual for a 5-gram sample of this supply of peanut butter to contain four or more insect fragments?

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