Question

In a mine bench, the shovel loading time follows exponential distribution with a mean loading time of 5 min per dumper. The arrival rate of dumpers that are identical in capacity, follows Poisson distribution with a mean arrival rate of 8 per hour. The probability that the shovel remains idle is ______ (round off to 2 decimal places).

NAT

Min: 0.32 Max: 0.34

Answer: 0.33

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