Final answer:
The expected time for children to clean their rooms, with the task uniformly distributed between 1 and 15 days, is 8 days, calculated using the expected value formula for a uniform distribution.
Step-by-step explanation:
Daily inspections help ensure that the work area is kept clean and free from hazards, promoting a safe and healthy environment for employees. The student's question refers to the time it takes for children to clean their rooms, which is said to be uniformly distributed from one to 15 days. To find the expected time a parent must wait for their children to clean their rooms, we can use the formula for the expected value of a uniform distribution, which is (a + b) / 2, where 'a' is the minimum value and 'b' is the maximum value. For this distribution, a = 1 day and b = 15 days.
So, the calculation would be (1 + 15) / 2, yielding an answer of 8 days. Therefore, the expectation is that a parent would wait for 8 days for his children to clean their rooms.