Teaching CSIR NET Mock Test Series Mathematical Science Statistics & Exploratory Data Analysis Probability
Consider an M/M/1 queueing model with a traffic intensity 0 < ρ < 1. Which of the following expressions correctly indicates the probability P(n) of the system having exactly n customers at the steady state?
1
\(P(n) = ρ \times (1 - ρ)^{n-1} \)
2
\(P(n) = (1 - ρ) \times ρ^n\)
3
\(P(n) = ρ^n \)
4
\(P(n) =\frac{ (ρ^n)}{(n!)}\)