Final answer:
The question involves probability distributions, statistical analysis, and calculation of measures such as mean and standard deviation, fitting within the mathematics subject at the college level.
Step-by-step explanation:
The subject of the question pertains to probability distributions and statistical analysis, which come under the broad mathematics category, specifically in topics related to probability and statistics often encountered at the college level. Since the questions involve finding the likelihood of certain outcomes given different distributions and calculating measures like the mean and standard deviation, it's clear that this is a task suited for students with understanding in these areas of mathematics.
For instance, when a question asks for the mean and standard deviation or the probability of an event, it is looking for the central tendency and spread of a distribution, as well as the likelihood of various outcomes within that distribution. Calculating these requires the use of formulas pertinent to the particular distribution in question, which may be uniform, normal, binomial, etc.
Moreover, tasks such as sketching a graph of the distribution also fall under the purview of the college level study of probability and statistics. This demonstrates the need for both conceptual understanding and computational skills in approaching these kinds of problems effectively.