Final answer:
A person is eligible for a same-day bind if the delivery happens by 2 p.m., and past noon, the probability of waiting at least another 1.5 hours is based on the remaining delivery window time.
Step-by-step explanation:
A customer is eligible for a same-day bind with Richard's Furniture Company if their delivery arrives by 2 p.m. Since deliveries occur from 10 a.m. to 2 p.m., the waiting time for a delivery can range up to 4 hours. Now, suppose it is past noon on a delivery day; we need to figure out the probability that a person must wait at least 1.5 more hours for their delivery.
Given that it is past noon, there are 2 hours left in the delivery window. Hence, waiting for at least 1.5 more hours would take us to 1:30 p.m. or later, which leaves only 30 minutes within that eligibility window. This analysis forms the basis of determining the probability of a same-day bind at this point in time.