Final answer:
The student's questions involve calculating probabilities and expected values related to uncertain events in healthcare settings, specifically using the Poisson distribution in Mathematics.
Step-by-step explanation:
The question seems to be concerned with determining the probability and expected value in various scenarios involving events with uncertain outcomes, particularly in a healthcare setting. These types of questions are typically addressed within the field of Mathematics, incorporating concepts from probability theory and statistics.
For instance, when estimating the probability that a number of calls is above or below a certain threshold, the Poisson distribution is often employed, which is suitable for modeling the number of occurrences of an event within a fixed interval of time or space, given the average number of times the event occurs over that interval.