Waiting bus paradox

Waiting bus paradox

One stochastic textbook example I’m experiencing every day. To win the battle against this, I need a smart phone and a GPS bus tracking system…

Back to the days when app like ‘Google Now’ was not available, we’ll just cross fingers hoping the bus schedule follows Poisson distribution, which ideally provides equal waiting time and interval between two buses. However, sometimes the bus schedule can be inhumane, which sets the buses running frequently at a shorter waiting time and the less frequent ones a longer waiting time, say, a 90% bus runs every 1 min and 10% bus runs every 60mins, you might end up waiting for half an hour if it takes you an hour to get to the bus station!

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