The queuing system M/G/Infinity is considered: the Poisson flow of customers’ arrivals, general distribution of service times, infinite number of servers. Two sample populations are available: the sample of times between arrivals and the sample of service times. Our aim is to evaluate the non-stationary distribution of queuing length X(t) for the time moment t (the number of customers in the system at the time moment t), if originally the system is empty. Two approaches are considered: traditional and Resampling. It is shown that suggested Resampling approach could be a good alternative to usual one.