Question: From past experience it is known that a machine is set up correctly on 90% of occasions. If the machine is set up correctly

From past experience it is known that a machine is set up

From past experience it is known that a machine is set up correctly on 90% of occasions. If the machine is set up correctly then the conditional probability of a good part is 95%, but if the machine is not set up correctly then the conditional probability of a good part is only 30%. On a particular day the machine is set up and the first component produced is found to be good. Required Using Bayes' theorem or otherwise determine the probability that the machine is set up correctly. (11 marks)

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