Interarrival times are exponentially distributed

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Reference no: EM132195136

1. A street noodle vendor (one server) in Singapore can service an average of 20 customers per hour. Given an average arrival rate of 12 customers per hour, use the Poisson distribution to calculate the probability that the vendor can handle the demand.

What is the probability that there is more than 1 customer in the system at any given time?

20%

40%

24%

60%

36%

2. What is the probability that less than 4 customers will arrive in 1 hour, when the mean arrival rate is 3 customers per hour, and interarrival times are exponentially distributed?

0.3528

0.1847

0.1680

0.8153

0.6472

3. Lady Bug Machineries uses a lean production assembly line to make its generators. In one assembly area, the demand is 200 parts per 8-hour day. It uses a container that holds 10 parts. It typically takes about 5 hours to round-trip a container from one work center to the next and back again. They also desire to hold a 20% safety stock of this part in the system.

If the container size were 15 and there were 10 containers, what would be the new required round-trip time, all else being constant?

4 hours

5 hours

6 hours

7 hours

8 hour

4. A street noodle vendor in Singapore can service an average of 10 customers per hour. Given an average arrival rate of 8 customers per hour, use the Poisson distribution to calculate the probability that the vendor can handle the demand.

What is the probability of having, at most, 10 customers arriving within 1 hour?

0.8159

0.2834

0.1841

0.7166

0.0993

Reference no: EM132195136

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