Final answer:
In the given scenario, we have λ (average arrival rate) as 6 units per hour and μ (average service rate) as 10 units per hour
Step-by-step explanation:
In a waiting line situation where arrivals occur every 10 minutes on average and 10 units are served per hour, we need to calculate the rate of arrivals (λ) and the service rate (μ). The rate of arrival λ is the average number of units arriving per time period, while the service rate μ is the average number of units that can be served per time period.
λ is calculated by taking the inverse of the time between arrivals. Since we have one arrival every 10 minutes, we get:
λ = 1 arrival / 10 minutes = 1 arrival / (10/60) hours = 6 arrivals per hour
On the other hand, μ is the number of units that can be served per hour, which is already given as 10 units per hour. Therefore, μ = 10 services per hour.