The perfol-mance of quality inspectors affects both the quality of outgoing products and the cost of the products. A product that passes inspection is assumed to meet quality standards; a product that fails inspection may be reworked, scrapped, or reinspected. Quality engineers at Westinghouse Electric Corporation evaluated performances of inspectors in judging the quality of solder joints by comparing each inspector's classifications of a set of 153 joints with the consensus evaluation of a panel of experts. The results for a particular inspector are shown in the accompanying table.

INSPECTOR'S JUDGMENT Committee's Judgment Joint Acceptable Joint Rejectable Joint acceptable Joint rejectable Source: Meagher, J. J., and Scazzero. J. A. "Measuring inspector variability."

39th Annunl Quality Congrevs Trunsnctions, May 1985, pp. 75-81, American Society for Quality Control.

One of the 153 solder joints is to be selected at random.

a. What is the probability that the inspector judges the joint to be acceptable? That the committee judges the joint to be acceptable?

b. What is the probability that both the inspector and the committee judge the joint~to be acceptable? That neither judge the joint to be acceptable?

c. What is the probability that the inspector and the committee disagree? Agree?