SOLUTION: 8.A computer assembling company receives 24% of parts from supplier X, 36% of parts from supplier Y, and the remaining 40% of parts from supplier Z. Five percent of parts supplied
Algebra ->
Probability-and-statistics
-> SOLUTION: 8.A computer assembling company receives 24% of parts from supplier X, 36% of parts from supplier Y, and the remaining 40% of parts from supplier Z. Five percent of parts supplied
Log On
Question 394626: 8.A computer assembling company receives 24% of parts from supplier X, 36% of parts from supplier Y, and the remaining 40% of parts from supplier Z. Five percent of parts supplied by X, ten percent of parts supplied by Y, and six percent of parts supplied by Z are defective. If an assembled computer has a defective part in it, what is the probability that this part was received from supplier Z? Answer by robertb(5830) (Show Source):
You can put this solution on YOUR website! P(Z|def) = P(def AND Z)/P(def)
=(P(def|Z)*P(Z))/(P(def|X)*P(X) + P(def|Y)*P(Y) + P(def|Z)*P(Z))
= 0.06*0.40/(0.05*0.24+0.10*0.36+0.06*0.40) = 0.024/0.072 = 1/3
