Answer to Question #214388 in Statistics and Probability for alice

Question

Of the feed material for a manufacturing plant, 85% is satisfactory, and the rest is not. If it is satisfactory, the probability it will pass Test A is 92%. If it is not satisfactory, the probability it will pass Test A is 9.5%. If it passes Test A it goes on to Test B; 99% will pass Test B if the material is satisfactory, and 16% will pass Test B if the material is not satisfactory. If it fails Test A it goes on to Test C; 82% will pass Test C if the material is satisfactory, but only 3% will pass Test C if the material is not satisfactory. Material is accepted if it passes both Test A and Test B. Material is rejected if it fails both Test A and Test C. Material is reprocessed if it fails Test B or passes Test C.

h) What percentage of the feed material is accepted? i) What percentage of the feed material is reprocessed? j) What percentage of the material which is reprocessed was satisfactory?