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A service facility has Poisson arrival rate and negative Exponential service rate on a first-come-first server basis queue. Average requests for service are 5 per day and the rate at which service is provided is 7 per day. Find the probability for exactly 3 machines in the system.
  • a)
    0.5268
  • b)
    1.0235
  • c)
    0.1041
  • d)
    1.00025
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A service facility has Poisson arrival rate and negative Exponential ...
Given,
λ=5/ day
μ=7/ day
n=3
ρn=(1−ρ)n
(for exactly 3 machines in the system)
∴ρ3=(1−ρ)ρ3
ρ3 = 0.1041
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