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 mean number of blue chocolate chips per bagis 6.0.The manager is interested in analyzing the probability that any bag being inspected has fewer than 5.0 blue chocolate chips.
A)binomial distribution.
B)Poisson distribution.
C)Either of the above
D)none of the above.

Question

Quizplus · Accepted Answer

The Poisson distribution is most appropriate for this scenario because it is used to model the number of times an event happens in a fixed interval of time or space, and it deals well with rare events (like finding a specific number of blue chips in a bag). Given the context, where we're looking at an average occurrence (mean) of a specific event (blue chips per bag), and interested in the probability of a certain number of these events occurring, the Poisson distribution fits the criteria.

What Type of Probability Distribution Will Most Likely Be Used