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Jobs arrive at a facility at an average rate of $5$ in an $8$ hour shift. The arrival of the jobs follows Poisson distribution. The average service time of a job on the facility is $40$ minutes. The service time follows exponential distribution. Idle time (in hours) at the facility per shift will be

  1. $\dfrac{5}{7} \\$
  2. $\dfrac{14}{3} \\$
  3. $\dfrac{7}{5} \\$
  4. $\dfrac{10}{3}$
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