Question

Elements to be processed at a single machine at a manufacturing plant arrive at an average rate of 5 every 8-hour period. The arrival of elements follows a Poisson process. What distribution best describes the arrival of elements in this scenario?

Answer 1

The best distribution to describe the arrival of elements at a single machine in a manufacturing plant, given they arrive at a Poisson process rate, is the Poisson distribution.

Step-by-step explanation:

The distribution that best describes the arrival of elements in a scenario where elements arrive at an average rate of 5 every 8-hour period, and the arrivals follow a Poisson process, is the Poisson distribution.

In a Poisson process, we are concerned with the number of events (in this case, the arrival of elements) that occur in a fixed interval of time with a known average rate and the arrivals happen independently of the time since the last event. This makes the Poisson distribution the appropriate model to use when dealing with the probability of a certain number of arrivals or events within a specific time period under these conditions.