Final answer:
The service requests at a rate of 5 per hour in the AUPP IT department can be modeled using the Poisson distribution for the number of requests, and the exponential distribution for the time between requests.
Step-by-step explanation:
The AUPP IT department receiving service requests at a rate of 5 per hour can be modeled using a Poisson distribution. The Poisson distribution is commonly used to model the number of events occurring in a fixed interval of time or space when these events happen with a known constant mean rate and independently of the time since the last event.
For this scenario, since the events are service requests and they occur at a constant average rate (5 per hour), the Poisson distribution applies well. Moreover, if we are interested in the time between service requests, we can use the exponential distribution to model the time between occurrences since service requests are equally likely to occur at any point in time and the times between them are independent.