Question
A factory produces bulbs using two machines: (3 Marks)
Machine A manufactures 60% of the bulbs, and 2% of the bulbs it produces are defective.
Machine B manufactures 40% of the bulbs, and 5% of the bulbs produced by it are defective.
A randomly selected bulb is found to be defective. Using Bayes' theorem, determine the probability that
the defective bulb was manufactured by Machin
Answer :
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Skip in 10
Let (A) be the event that a bulb is manufactured by Machine A, and (B) be the event that a bulb is manufactured by Machine B. Let (D) be the event that a bulb is defective. The given information is: [ P(A)=0.60,\qquad P(B)=0.40 ] The probability that a bulb is defective given that it was manufactured by Machine A is: [ P(D|A)=0.02 ] The probability that a bulb is defective given that it was manufactured by Machine
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