What type of probability distribution will most likely be used to analyze the number of chocolate chip parts per cookie in the following problem? The quality control manager of Marilyn's Cookies is inspecting a batch of chocolate chip cookies. When the production process is in control, the average number of chocolate chip parts per cookie is 6.0. The manager is interested in analyzing the probability that any particular cookie being inspected has fewer than 5.0 chip parts.
A) binomial distribution
B) Poisson distribution
C) hypergeometric distribution
D) None of the above.

Question

Quizplus · Accepted Answer

The Poisson distribution is appropriate for this problem because it deals with the number of occurrences of rare events in a fixed interval. In this case, we are interested in the number of chocolate chip parts in a single cookie, which is a rare event since the average is only 6.0. Binomial and hypergeometric distributions are more appropriate for situations where we are interested in the number of successes out of a certain number of trials, which is not the case here.

What Type of Probability Distribution Will Most Likely Be Used