Consider a single-server queueing system with any servicetime distribution and any distribution of interarrival times (the GI/G/1

Question:

Consider a single-server queueing system with any servicetime and any of interarrival times (the GI/G/1 model). Use only basic definitions and the relationships given in Sec. 17.2 to verify the following general relationships:
(a) L = Lq + (1 – P0).
(b) L = Lq + p.
(c) P0 = 1 – p.
Distribution
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