Suppose that a computer manufacturer receives computer boards in lots of five. Two boards
are selected from each lot for inspection. We can represent possible outcomes of the selection
process by pairs. For example, the pair (1,2) represents the selection of Boards 1 and 2 for
inspection.
a. List the 10 different possible outcomes.
b. Suppose that Boards 1 and 2 are the only defective boards in a lot of five. Two boards are
to be chosen at random. Define x to be the number of defective boards observed among those
inspected. Find the probability distribution of x.
c. Obatin the mean of X