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Parts are inspected on a production line for a defect. It is known that 5% of...

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Statistics

Parts are inspected on a production line for a defect. It isknown that 5% of the pieces have this defect. (this applies to 5parts of the problem)

to. If an inspector examines 12 parts, what is the probability offinding more than 2 defective parts? (10 pts)

b. What is the expected number of defective parts in 12-piecesample? (10 pts)

c. In another area, parts are inspected until 5 defective parts arefound, then the machine is stopped to reset the machine. Onaverage, how many pieces does the machine stop? (10 pts)

d. In another area, parts are inspected until 3 faulty parts arefound, then the machine is stopped to reset the machine. What isthe probability of needing between 55 and 60 pieces to stop themachine? (10 pts)

and. 100 pieces were separated for special tests. A sample of 15pieces will be taken from these 100. What is the probability offinding at least 2 defects in the sample? (15 points)

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