A lot of 10,000 parts, produced on four machines, was graded according to three grades. These results were:

What is the probability that a part selected at random:

1. Was produced by Machine W and should be reworked?
2. Was produced by Machine Z and is not satisfactory?
3. Was produced by Machine Y and should be scrapped?
4. Needs to be reworked?
5. Needs to be scrapped given that it was produced by machine W?

Machine: Grade Satisfactory 3,200800 2,400 1600 8,000 Rework Scrap ZAll machines 600 150 450 3 200 300 1,500 500 10,000 50 150 100 All Grades4,0001,000 3,000 2,000