Final answer:
The second formula is only valid for a Poisson distribution.
Step-by-step explanation:
The second, simpler formula is only valid for the condition where the arrival and service rates are derived from a Poisson distribution. In a Poisson distribution, events occur randomly and independently over a fixed interval of time or space. This distribution is commonly used to model situations where the timing of events is random. The formula assumes that the number of arrivals and service times follows a Poisson distribution.