A study at a semiconductor manufacturing plant analyzed whether the presece of particles on the die affected the quality of the wafer. The results were:
|
|
Condition of Die
|
|
Quality
|
No particles
|
Particles
|
|
Good
|
348
|
16
|
|
Bad
|
92
|
44
|
(a) According to the table, what is the probability that a randomly-chosen wafer was produced from a die that had particles?
(b) If you know that a wafer is bad, what is the probability, according to the table, that it was produced from a die that had particles?
(c) Explain, with reference to your answers to (a) and (b) above, whether the two events: a bad wafer and a die with particles: are independent.