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
\(\frac{5}{7}\)
2
\(\frac{{14}}{3}\)
3
\(\frac{7}{5}\)
4
\(\frac{{10}}{3}\)

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