SOLUTION: Q (3): Suppose there is a factory with three assembly lines (A, B, and C) that each make the same part. 50% of parts produced by the factory come off of assembly line A, 30% come

Algebra ->  Probability-and-statistics -> SOLUTION: Q (3): Suppose there is a factory with three assembly lines (A, B, and C) that each make the same part. 50% of parts produced by the factory come off of assembly line A, 30% come      Log On


   

Question 938077: Q (3): Suppose there is a factory with three assembly lines (A, B, and C)
that each make the same part. 50% of parts produced by the factory come
off of assembly line A, 30% come off of assembly line B, and 20% come
off of assembly line C. Finished parts can be categorized as either
defective or not. It is known that 0.4% of the parts from line A are defective,
0.6% of the parts from line B are defective, and 1.2% of the parts from line
C are defective. Find:
i) The probability of selecting a defective part
ii) If we are holding a defective part in our hand, what is the
probability that it came from assembly line B?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

A: .50, (.004def)     .002

B: .30  (.006def)     .0018

C: .20  (.012def)     .0024

tot:                         .0062

choose one

P(def) = .0062  0r .62%

....

P(A|B) = P(A and B)/P(B)

P(B |def) = .30%2A.006%2F.0062 =  .2903  0r 29.03 %