Final answer:
The provided information does not give a factual answer about the time saved by proper mats; instead, it offers unrelated scenarios about room cleaning and household chores. The expected wait time for children to clean their rooms is 8 days based on a uniform distribution, and assigning chores based on comparative speed can maximize free time.
Step-by-step explanation:
The question does not provide information on the average time saved due to clean, proper outside scraper mats and indoor mats. Therefore, it's not possible to choose between options A) 5 minutes, B) 10 minutes, C) 15 minutes, D) 20 minutes based on the provided information. Instead, the question provides data on unrelated scenarios involving room cleaning intervals and individual efficiency in doing household chores such as dishes and vacuuming. For example, if the time it takes one's children to clean their rooms is uniformly distributed from one to 15 days, the expected time we can calculate using the properties of a uniform distribution is the average, which is (1+15) / 2 equating to 8 days.
Regarding the scenario of being faster in household tasks, to maximize free time one would ideally assign their roommates to tasks they are relatively slower at. This presents a situation akin to the concept of comparative advantage in economics, where trade benefits can be maximized when parties engage in the production of goods for which they have a lower opportunity cost.