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

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
RELATED QUESTIONS
A local company has a policy that it will reject a shipment of parts from its supplier... (answered by stanbon)

10. Parts and materials for the skis made by the Downhill Adventures Company are supplied (answered by Theo)

Cooper Manufacturing has a policy that it will reject a shipment of parts from its... (answered by Fombitz)

Five percent of computer parts produced by a certain supplier are defective. What is... (answered by KawaiiKittenGal<3)

Ten percent of computer parts produced by a certain supplier are defective. What is the... (answered by stanbon)

computer chips come from two suppliers, with 72% coming from supplier 1 and 28% coming... (answered by ikleyn)

A manufacturer maintains a supply of a key part used in the production of their product... (answered by jainenderkapoor)

The table below shows the number of boxes of 100 tubes containing defectives: Firm... (answered by math_tutor2020)

5. Five percent of computer parts produced by a certain supplier are defective. What is... (answered by richard1234)