Question

The Food and Drug Administration establishes a Food Defect Action Level (FDAL) for the various foreign substances that inevitably end up in the food we eat and the liquids we drink. For example, the FDAL level for insect dirt in peanut butter is 0.1 insect fragments (larvae, eggs, body parts, etc.) per gram. Assume that a supply of peanut butter contains 0.1 insect fragments per gram. Calculate the probability that the number of insect fragments in a 10-gram peanut butter sample is at least two. (result at 4 decimal places)

Answer 1

Binomial distribution is used because experiment is Bernoulli trial since there are only two possible outcomes in single trial

If n=10 then values of binomial variable are

0, 1,2,......,10.