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At a production machine, parts arrive according to a Poisson process at the rate of 0.35 parts per minute. Processing time for parts have exponential distribution with mean of 2 minutes. What is the probability that a random part arrival finds that there are already 8 parts in the system (in machine + in queue)?
[1999]
  • a)
    0.0247
  • b)
    0.0576
  • c)
    0.0173
  • d)
    0.082
Correct answer is option 'C'. Can you explain this answer?
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At a production machine, parts arrive according to a Poisson process at the rate of 0.35 parts per minute. Processing time for parts have exponential distribution with mean of 2 minutes. What is the probability that a random part arrival finds that there are already 8 parts in the system (in machine + in queue)?[1999]a)0.0247b)0.0576c)0.0173d)0.082Correct answer is option 'C'. Can you explain this answer?
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