Final answer:
In the context of the given uniform distribution from 1 to 15 days, the expected waiting time for children to clean their rooms is 8 days, determined by averaging the minimum and maximum values.
Step-by-step explanation:
In the context of the given uniform distribution from 1 to 15 days, the expected waiting time for children to clean their rooms is 8 days, determined by averaging the minimum and maximum values. The question refers to a probability distribution, which is a concept in mathematics. Given that the time it takes children to clean their rooms is a uniform distribution between 1 and 15 days, we can calculate the expected value (mean) of this uniform distribution. The formula for the expected value of a continuous uniform distribution with a minimum value 'a' and a maximum value 'b' is (a + b) / 2.
Applying this formula to the given interval from 1 to 15 days, we get:
(1 + 15) / 2 = 16 / 2 = 8 days
Therefore, a parent should expect to wait for 8 days on average for his children to clean their rooms.