A worker-operated machine produces a defective item with probability 0.06 if the worker follows the machine's...

A worker-operated machine produces a defective item with probability 0.06 if the worker follows the machine's operating instructions exactly, and with probability 0.09 if he does not. If the worker follows the instructions 90% of the time, what proportion of all items produced by the machine will be defective?

If an item is known to be defective, what is the probability that the worker who made it followed the instructions? If necessary, round final answer to four decimal places.

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TOPIC:Theorem of total probability, Bayes' theorem.

orchestra answered 1 year ago

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