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Travellers flying out of an airport first pass through security. Security superv

ID: 448044 • Letter: T

Question

Travellers flying out of an airport first pass through security. Security supervisors need to decide how to place stanchions for the queue. Assume that travellers line up in a single line and will be directed to the first available security officer once they get to the front of the line (there are four security officers available to serve customers, at an average rate of 45 seconds per customer. If an average of 308 travellers per hour arrive (assume Poisson arrival rate), how long will the queue be, on average?

Between 30 and 40 travellers

More than 40 travellers

Between 10 and 20 travellers

Fewer than 10 travellers

Between 20 and 30 travellers

a.

Between 30 and 40 travellers

b.

More than 40 travellers

c.

Between 10 and 20 travellers

d.

Fewer than 10 travellers

e.

Between 20 and 30 travellers

Explanation / Answer

Between 20 and 30 travellers

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