A Particular Electronic Component Is Produced at Two Plants for an Electronics

Multiple Choice

A particular electronic component is produced at two plants for an electronics manufacturer.Plant A produces 70% of the components used and the remainder are produced by plant B.The probability that a component is defective is 0.02 if it is produced at plant A and 0.01 if it is produced at plant B.If the component is defective the revised probability it is produced at plant A, P (A|D) , is closest to ________

A) 0.700
B) 0.824
C) 0.176
D) 0.300
E) 0.698