Sachin Date
1 min readJun 14, 2020

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Sure. Thank you for the insightful comment.

I chose the analogue of apples coming down the conveyer belt because it was something whose ‘flow' I could progressively increase to an arbitrarily large, indeed infinite value, which was key to showing how the Binomial experiment tends to a Poisson process, as the number of measurements per unit time become arbitrarily large. It would have been a bit harder for me to construct such an analogue using the concept of vehicular flow. But your point is well taken in that it is perhaps more appropriate to explain in terms of vehicular flow.

Unfortunately, and perhaps a bit unsatisfactorily, the Poisson distribution can be best understood only by introducing the concept of infinite measurements per unit time, into the formula of the Binomial distribution. It’s then left to the thought experimenter to decide if what’s being detected in each one of those measurements, is the presence or absence of a car, or the appearance of a good versus a bad apple, or some other Bernoulli variable.

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Sachin Date
Sachin Date

Written by Sachin Date

Learn statistics, one story at a time.

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