Question: A manufacturing company ships (by truckload) its product to three different distribution centers on a weekly basis. Demands vary from week to week ranging over 0, 1, and 2 truckloads needed at each distribution center. Conceptualize an experiment where a week is selected and then the number of truckloads demanded at each of the three centers are recorded.
(a) Describe the sample space, i.e., list all outcomes.
(b) How many possible different events are there?
(c) Write the event that represents a total of three truckloads are needed for the week.
(d) If each event containing a single outcome has the same probability, what is the probability that a total demand for three truckloads will occur?