The performance 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 an electric company 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 table. One of the 153 solder joints was selected at random.

a. What is the probability that the inspector judged the joint to be acceptable? That the committee judged the joint to be acceptable?
b. What is the probability that both the inspector and the committee judged the joint to be acceptable? That neither judged the joint to be acceptable?
c. What is the probability that the inspector and the committee disagreed? Agreed?

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Inspector's Judgment Committee's Judgment Joint Acceptable Joint Rejectable Joint 101 10 acceptable Joint 23 19 rejectable