Mathematics, 22.01.2021 19:30 peteh5

Two inspectors A and B independently inspected the same lot of items. Four percent of the items are actually defective. The results turn out to be as follows: 5% of the items are called defective by A.

6% of the items are called defective by B.

2% of the items are correctly called defective by A.

3% of the items are correctly called defective by B.

4% of the items are called defective by both A and B.

1% of the items are correctly called defective by both A and B.

(a) Make a Venn diagram showing percentages of items in the eight possible disjoint classes generated by the classification of the two inspectors and the true classification of the items. What percent of the items are incorrectly called defective by A? What percent of the items are incorrectly called defective by B?

(b) What percent of the truly defective items are missed by inspectors?

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