Final answer:
The question asks to solve various probability-related problems, typical for high school statistics or probability courses, including calculating the likelihood of events and understanding uniform and binomial distributions.
Step-by-step explanation:
The question provided appears to be related to probability and involves various scenarios in which different probabilities need to be calculated. For instance, the probability of a train being late, the probability of a commuter waiting less than a certain amount of time, and the probability of a person driving on a certain number of days. These types of problems are common in high school statistics or probability courses where students learn how to calculate the likelihood of different events.
Questions like defining the random variable X in the context of a uniform distribution or calculating probabilities using normal approximation to the binomial distribution are also typical of a high school level mathematics course. Specifically, they might be part of an Algebra II, Probability, or Statistics curriculum.