Respuesta :
Using the Poisson distribution and the exponential distribution, on average, there are (C) 2.25 consumers in line behind the person serving.
What is exponential distribution?
The Poisson point process, or a process in which events occur continuously and independently at a constant average rate, uses an exponential distribution to represent the probability distribution of the time between occurrences.
Statistics and probability theory both make use of this distribution.
So, we know that:
6 arrivals on average are made per hour (Poisson distribution).
It provides two services every fifteen minutes (exponential distribution).
Waiting line behind the person being served:
(15 / 6 * 2) + 1
(15 / 12) + 1
1.25 + 1
2.25
Therefore, using the Poisson distribution and the exponential distribution, on average, there are (C) 2.25 consumers in line behind the person serving.
Know more about exponential distribution here:
https://brainly.com/question/26967618
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