Final answer:
In a Poisson distribution model, taxis passing a location can be predicted using the formula if certain conditions are met. The taxicab industry might have economies of scale for operational cost efficiency. Commuter transport probabilities can be calculated, and may involve Poisson distribution if applicable.
Step-by-step explanation:
Poisson distribution is a mathematical concept that is often used to model the number of times an event occurs in a fixed interval of time or space. For example, taxis passing by a given location can be modeled using a Poisson distribution if we assume the event 'a taxi passes by' is independent from another, occurs at a constant average rate, and occurs rarely within a small time frame. We calculate probabilities for different numbers of taxis using the Poisson distribution formula. The taxicab industry in large cities could be subject to significant economies of scale since larger operations might reduce costs per unit due to factors like centralized dispatch systems and bulk purchasing of vehicles and other supplies. Lastly, probabilities of transport scenarios like commuting alone or carpooling could be calculated assuming independent and random selection of workers, which requires understanding of basic probability and potentially Poisson distribution if the events were to fit within this framework.