d-oflise production test for identifying defective parts has demonstrated a ept

Question

d-oflise production test for identifying defective parts has demonstrated a ept a part that actual does not have a defect 95% of the time. It is known randommly selected part bas been tested and identified as defective. What is (30 points) As of line pe part thatis 959 that the process has a 1% defect rate. (a) (S poists) A aso show te detecting a defect in a part that is actually defective. The test the oonditiomal probability that it is actually defective? (b) (2 points) Are you surprised by the answer? Explain why or why not?

Explanation / Answer

P(actually defective | found defected) = P(actually defective and found defected)/P(found defective)

=(0.1*0.95)/(0.99*0.05+0.1*0.95)

= 0.657 = 65.7%

b)

No., as the prob. is more than 5%

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