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The variance of failure time (time to failure) of an electric motor in shovel is 1600 hr2. If the failure time follows an exponential distribution. the expected mean time between failure in hr is

The variance of failure time (time to failure) of an electric motor in shovel is 1600 hr2. If the failure time follows an exponential distribution. the expected mean time between failure in hr is Correct Answer 40

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In an opencast mine, dumpers arrive at a shovel location with an average arrival rate of 12 per/hour. The inter-arrival times of the dumpers follow an exponential distribution. The service times of the shovel also follow an exponential distribution with an average of 3 minute. The average waiting time of a dumper in the queue in minutes is
In an opencast mine loading and transporting has been carried out by shovel dumper combination. There is only one shovel is in operation. Dumpers arrive at the rate of 10 dumpers per hour and it takes shovel on an average 5 minutes to load a dumper. Assume arrival is Poisson and service time is exponentially distributed. Find the proportion of time the shovel is busy.
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In an opencast mine loading and transporting has been carried out by shovel dumper combination. There is only one shovel is in operation. Dumpers arrive at the rate of 10 dumpers per hour and it takes shovel on an average 5 minutes to load a dumper. Assume arrival is Poisson and service time is exponentially distributed. What is expected idle time of a dumper in the system?
In an opencast mine loading and transporting has been carried out by shovel dumper combination. There is only one shovel is in operation. Dumpers arrive at the rate of 10 dumpers per hour and it takes shovel on an average 5 minutes to load a dumper. Assume arrival is Poisson and service time is exponentially distributed. What is expected waiting time of the dumper in the queue?
In an opencast mine loading and transporting has been carried out by shovel dumper combination. There is only one shovel is in operation. Dumpers arrive at the rate of 10 dumpers per hour and it takes shovel on an average 5 minutes to load a dumper. Assume arrival is Poisson and service time is exponentially distributed. Find the expected number of dumpers in the system.
In an opencast mine loading and transporting has been carried out by shovel dumper combination. There is only one shovel is in operation. Dumpers arrive at the rate of 10 dumpers per hour and it takes shovel on an average 5 minutes to load a dumper. Assume arrival is Poisson and service time is exponentially distributed, find the expected number of dumpers waiting to be load in the system.
The following data are provided for a surface mine to be excavated by a shovel:
Production target: 10000 te/shift
Available hours per shift: 6 hrs
Shovel loading cycles per hour: 106
Bank density of the material mined: 2400 kg/m3
Swing factor at 120° swing: 0.91
Bucket fill factor : 0.64
Utilization of available time: 83%
No of working days in a year : 300
No of shifts per day : 3

The size of bucket of the shovel in m3 is
If Michael can shovel all the snow of a standard driveway in 12 minutes, and Emon can shovel all the snow of a standard driveway in 36 minutes, then working together, how many minutes would it take for them both to shovel all the snow of a standard driveway?
In an opencast mine with shovel-dumper combination have 1 shovel and 6 dumpers. The reliability of the shovel is 0.9 and all the dumpers have equal reliability of 0.8. What is the system reliability?