Final answer:
Without additional information, it is not possible to determine the rest period transit time, but effectively calculating the waiting time probability for a bus, the probability of waiting less than 12.5 minutes is 83.33% when waiting time is uniformly distributed between 0 and 15 minutes.
Step-by-step explanation:
The student's question pertains to the amount of transit time contained within a minimum rest period and involves understanding the concepts of time allocation and scheduling which are commonly addressed for public transportation systems. There is not enough information provided in the question to give a specific answer to the number of hours contained within each minimum given rest period. Therefore, we cannot determine whether the amount of transit time is more than seven hours, at most seven hours, at least seven hours, or less than seven hours for options a), b), c), and d) respectively, without additional context or clarification on what these rest periods pertain to.
As for the probability of waiting less than 12.5 minutes for a bus, if the waiting time is uniformly distributed between zero and 15 minutes, the calculation is based on the concept of uniform distribution in probability. To find the probability that a person waits fewer than 12.5 minutes, we divide the interval of interest, 0 to 12.5 minutes, by the entire possible waiting time, which is 15 minutes:
Probability = Desired waiting time / Total possible waiting time
= 12.5 minutes / 15 minutes
= 0.8333 (or 83.33%)
So, the probability that a person will wait fewer than 12.5 minutes for the bus is 83.33%.