Final answer:
The time frame for the return of a homeowner's deposit after contract cancellation depends on the specific terms of the contract. Usually, the range can be from a few days to 30 days. For the unrelated question, the expected time for a task uniformly distributed between 1 and 15 days is 8 days.
Step-by-step explanation:
When it comes to contract cancellation and the return of a homeowner's deposit, it typically depends on the specific terms agreed upon in the contract. The snippet provided does not specify an exact number of days for the refund of any sums paid under the agreement. However, common practice tends to range from as few as 5 days to as many as 30 days after cancellation. It's important to review the contract for the specific terms related to cancellation and refund provisions.
The unrelated question about the expected time for children to clean their rooms, which follows a uniform distribution from 1 to 15 days, can be addressed by calculating the expected value which is the average of the maximum and minimum values. The expected value (mean) can be calculated by ((15 - 1) / 2) + 1 = 8 days, which is the average waiting time for the rooms to be cleaned.