Question: Six semi-automatic machines, which are manually fed by human operators, are attended by 3 operators. The running time of each machine before stopping to be

Six semi-automatic machines, which are manually fed by human operators, are attended by 3 operators. The running time of each machine before stopping to be fed is exponentially distributed with mean 20 minutes. The feeding time by each operator is also exponentially distributed with mean 15 minutes. The following are the computed steady-state probabilities:

P₀ = 0.0306, P₁ =0.1378, P₂ = 0.2584, P₃ = 0.2583, P₄ =0.1938, P₅ = 0.0969, P₆ = 0.0242

The expected number of machines that are running at any time is closest to:

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