Question

6. A manufactured parts is defective with probability 1/2. Bin A consists of n+ 1 parts and bin B consists of n parts. What is the probability that bin A consists of more defectives than bin B?

For the manufactured part mentioned in the above question, you have a method of testing if it is defective, but it may give wrong answers. If the tested part is defective, the method detects the defect with probability 0.9. If the tested item is good, then the method says it is defective with probability 0.2. (In statistical learning language, the test has false positive probability 0.1 and false negative probability of 0.2). Bin C contains 3 parts. One have tested all of them and the tests detect no defects. What is the probability that none of the 3 items is defective?

Answer 1