ProbabilityHard
Question
In a certain factory machines A, B and C produce bolts. of their production A, B and C produce 2%, 1% and 3% defective bolts respectively. Machine A produces 35% of the total output of bolts machine B produces 25% and machine C produces 40%. A bolts is chosen at random from the factory′s production and its found to be defective. The probability it was produced on machine C is
Options
A.6/11
B.12/45
C.24/43
D.3/11
Solution
M : Bolt is defective
B1 : Produced by A ; P(B1) =
B2 : Produced by B ; P(B2) =
B3 : Produced by C ; P(B3) =
B1 : Produced by A ; P(B1) =
B2 : Produced by B ; P(B2) =
B3 : Produced by C ; P(B3) =
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