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)
a. If an inspector examines 12 parts, what is the probability of finding more than 2 defective parts?
b. What is the expected number of defective parts in 12-piece sample?
C. In another area, parts are inspected until 5 defective parts are found, then the machine is stopped to reset the machine. Does the machine stop on average every time parts?
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?
e. 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?