What type of probability distribution will most likely be used to analyze the number of blue chocolate chips per bag in the following problem?
The quality control manager of a candy plant is inspecting a batch of chocolate chip bags. When the production process is in control, the average number of blue chocolate chips per bag is 6.0. The manager is interested in analyzing the probability that any particular bag being inspected has fewer than 5.0 blue chocolate chips.
A) binomial distribution
B) Poisson distribution
C) all of the above
D) none of the above

Question

Quizplus · Accepted Answer

The Poisson distribution is most appropriate for this problem because it is used to model the number of events occurring in a fixed interval of time or space when the events are rare and independent. In this case, the number of blue chocolate chips per bag is a rare event that can be modeled using the Poisson distribution with the average rate of 6.0 blue chocolate chips per bag. The binomial distribution would be used if the problem involved a fixed number of trials with a binary outcome (e.g., success or failure) and constant probability of success.

What Type of Probability Distribution Will Most Likely Be Used