What would be average number of individuals waiting in line

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Ocean City’s Motor Vehicle Department has two offices. The main office handles 70% of the traffic. They have designed the office into various sections: Initial Processing; Registration; Driving Licenses; License Plate Renewal; and Fines. Everyone flows through Initial Processing, as it assigns everyone to the other sections. Saturday is the busiest day in the Motor Vehicle Department, with people arriving at a rate of 50 per hour following an assumed Poisson distribution. Moving through Initial Processing is straightforward, and on average, it only takes 60 seconds per person, following an assumed exponential distribution.

1. What would be the average number of individuals waiting in line? (2 decimals)

2. What would be the average time (minutes) an individual spends in the system? (1 decimal)

3. What would be the probability of having no individuals in the system? (enter as percent with 1 decimal, don't include % sign)

4. What would be the average time (in minutes) waiting in line for service?

Reference no: EM132226903

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