In a bolt factory machines A,B,C manufacture respectively 25%,35%,40% of the total bolts.Of their output 5,4,2 percent are respectively defective bolts.A bolt is drawn at random from the product. If the bolt drawn is found to be defective, what is the probability that it is manufactured by the machine B?
please post with ur soln also.
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1 Answers
1use bayes thm
P(A)=25/100
P(B)=35/100
P(C)=40/100
P(A/D)=5/100
similarly 4 othrs
and then
P(D/B)=P(B)P(B/D)/[P(B)P(B/D)+P(A)P(A/D)+P(C)P(C/D)]
