In: Statistics and Probability
Parts are inspected on a production line for a defect. It is
known that 5% of the pieces have this defect. (this applies to 5
parts of the problem)
to. If an inspector examines 12 parts, what is the probability of
finding more than 2 defective parts? (10 pts)
b. What is the expected number of defective parts in 12-piece
sample? (10 pts)
c. In another area, parts are inspected until 5 defective parts are
found, then the machine is stopped to reset the machine. On
average, how many pieces does the machine stop? (10 pts)
d. In another area, parts are inspected until 3 faulty parts are
found, then the machine is stopped to reset the machine. What is
the probability of needing between 55 and 60 pieces to stop the
machine? (10 pts)
and. 100 pieces were separated for special tests. A sample of 15
pieces will be taken from these 100. What is the probability of
finding at least 2 defects in the sample? (15 points)