Many manufacturers have quality control programs that include inspection of incoming materials for defects. suppose a computer manufacturer receives computer boards in batches of five. two boards are randomly selected from each batch for inspection. consider batches for which exactly two of the boards are defective; for convenience, number the defective boards as 1 and 2, and the nondefective boards as 3, 4, and 5. let x denote the number of defective boards among the two actually inspected, and determine the mass function of x. hint: one possible sample of size 2 consists of boards 1 and 2, another of boards 1 and 3, and so on. how many such samples are there, and what is the value of x for each sample?