Question

What is the maximum time period that a distributor can allow for the correction of an unacceptable condition that does not pose an immediate hazard?

a) 24 hours
b) 48 hours
c) 70 days
d) 90 days

Answer 1

In the context of uniform distribution, the expectation value is the midpoint of the distribution interval. For children cleaning their rooms, with an interval from 1 to 15 days, the expected waiting time is 8 days.

Step-by-step explanation:

The question you’ve asked relates to a uniform distribution interval in a statistical context within mathematics. Specifically, it's about the expectation value for an event on a uniform distribution. When the time it takes for children to clean their rooms is uniformly distributed in the time interval from one to 15 days, the expectation (or mean) is calculated by taking the average of the minimum and maximum values of the interval. Therefore, to find the average:

Average = (Minimum value + Maximum value) / 2

Average = (1 + 15) / 2 = 16 / 2 = 8

So, a parent must expect to wait for 8 days for their children to clean their rooms, which corresponds to option A. This is the answer because in a uniform distribution, the mean is the midpoint between the two boundaries of the distribution.