The following contingency table shows inspection records for 650 units of a particular product. The records have been cross-classified by the inspector’s decision (Pass and Fail) and the inspector’s experience (Low, Medium, and High).



Decision Experience
Low Medium High
Pass 164 286 99
Fail 18 59 24

a-1. How many of the units passed inspection?

a-2. How many of the units failed inspection?

b. How many of the units were inspected by inspectors with high experience?

c. What proportion of the units were inspected by inspectors with low experience? (Round your answer to 2 decimal places.)

d. What proportion of the units were inspected by inspectors with medium experience and failed inspection? (Round your answer to 2 decimal places.)

1 answer

a-1. The number of units that passed inspection is 164 + 286 + 99 = 549.

a-2. The number of units that failed inspection is 18 + 59 + 24 = 101.

b. The number of units inspected by inspectors with high experience is 99 + 24 = 123.

c. The proportion of units inspected by inspectors with low experience is (164 + 18)/650 = 0.2769 or 27.69%.

d. The proportion of units inspected by inspectors with medium experience and failed inspection is 59/650 = 0.0908 or 9.08%.