Final answer:
The expected waiting time for children to clean their rooms, with the timeframe uniformly distributed between 1 to 15 days, is calculated as the average of the two boundary values, which comes out to be 8 days.
Step-by-step explanation:
The question is asking about the expected waiting time for a uniformly distributed event. When an event is uniformly distributed between two values, in this case, from 1 to 15 days, the expected value is the average of the two boundary values. To find this, we add the minimum value (1 day) to the maximum value (15 days) and then divide by 2. Therefore, the expected waiting time for a parent for his children to clean their rooms is:
(1 day + 15 days) / 2 = 16 days / 2 = 8 days.
Thus, the correct answer is A. 8 days.