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Each day at a large hospital, several hundred laboratory tests are performed. Th

ID: 3041989 • Letter: E

Question

Each day at a large hospital, several hundred laboratory tests are performed. The rate at which these tests are done improperly (and therefore need to be redone) seems steady. In an effort to get to the root cause of these nonconformances, tests that need to be redone, the director of the lab decided to keep records over a period of one week. The laboratory tests were subdivided by the shift of workers who performed the lab tests. The results are as follows :

Lab Tests

Shift

Day

Evening

Nonconforming

50

10

Conforming

410

198

What is the probability that a lab test was performed during the day shift, given that it is "Conforming" ? ( use 3 decimals )

Lab Tests

Shift

Day

Evening

Nonconforming

50

10

Conforming

410

198

Explanation / Answer

P(Test is performed during the dayshift | Test is conforming)

= 410 / (410 + 198)

= 410 / 608

= 0.674

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