Which prior probability distribution should the ML Specialist use for this variable?
Poisson distribution
Uniform distribution
Normal distribution
Binomial distribution
Explanations:
The Poisson distribution is suitable for modeling the number of events occurring in a fixed interval of time, and here, it can represent the number of minutes a person waits for a bus, given the buses cycle every 10 minutes with a mean of 3 minutes.
The Uniform distribution is typically used when all outcomes are equally likely. However, waiting time for a bus is not uniformly distributed as it is constrained by the bus cycle, making the uniform distribution inappropriate.
The Normal distribution is used for continuous data and assumes symmetry around the mean. Waiting time for a bus is a discrete random variable, so the Normal distribution is not appropriate for this situation.
The Binomial distribution is used for modeling the number of successes in a fixed number of independent Bernoulli trials. Since waiting time is not a count of successes, the Binomial distribution is not suitable.