A weld inspection method has a 90% probability of detection of a defect in a welded joint that contacts such a defect, and a 5% false detection probability, that is, the probability of detecting a defect in a joint that does not contain such a defect. Assume a 5% probability of a joint containing a defect.

What is the probability of finding a defect in a joint during inspection? What is the probability of a false detection during inspection? Assume that an inspection crew screens 100 joints per day. On the average,

(a) How many defects are there?

(b) how many are detected and found? and

(c) how many detected and not found false detection?