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Question: setup suppose the probability of a part being marfactured...

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Setup: . Suppose the probability of a part being marfactured by Machine A is 0.6 Suppose the probability that a part was manufactured by Machine A and the part is defective is 0.09 . Suppose the probability that a part was NOT manufactured by Machine A and the part IS defective is 0.13 Questions To Answer: 1. (2 pts) Find the probability that a part is defective given that it was made by Machine A 2 (2 pts) Find the probability that a part defetive 3. (4 pts) Are the states of a part being made by Machiue A and being defective independent? Circle your answer and state your reason YES, they are independent NO, they are NOT independent Reason ecific part, given that the part was defective. Round your final answer to 2 dccimals, if nceded

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