Question

Problem 14.39. In a certain manufacturing process, a vision system is used to inspect an assembly. The effectiveness of the vision system depends on the correct alignment of the part. The probability that the alignment is not correct is 7%. Assuming that the attempts are independent of each other: 

1) Calculate the probability that the first correct alignment will be obtained on the third attempt 

2) Calculate the probability that the first correct alignment is obtained before the fourth attempt 

3) Determine the expected number of attempts to achieve correct alignment 

4) The process stops if three incorrect alignments occur. What is the probability of making exactly 12 attempts before stopping the process?

Answer 1