Final answer:
The subject of the question is Mathematics and it pertains to high school level probability calculations. It involves determining the likelihood of a delivery occurring in a specific time interval after noon, based on a uniform distribution of delivery times between 10 a.m. and 2 p.m.
Step-by-step explanation:
The question relates to the calculation of probabilities and is addressing a scenario where a customer is expecting a delivery. In the given context, Richard's Furniture Company delivers furniture from 10 a.m. to 2 p.m. with delivery times being uniformly distributed. Since it is now past noon and the customer is expecting a package this morning, we can calculate the probability of the package arriving at least 1.5 more hours from noon.
Given that it is a continuous and uniform distribution from 10 a.m. to 2 p.m., each hour interval within this time range has an equal probability of being the delivery time. As there are 4 hours in total, the probability of delivery in any one hour is 1/4 or 0.25. Now, it is past noon and the query is about the likelihood of the delivery happening in the next hour and a half. Since there are only 2 hours left (from noon to 2 p.m.), the probability of waiting at least another 1.5 hours is the probability that the delivery will happen in the final half-hour of the delivery window, which is 1/4 or 0.25.