Question 4: A worker-operated machine produces a defective item with prob- ability 0.01 if the worker follows the machine's operating instructions exactly, and with probability 0.04 if the worker does...

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Extracted text: Question 4: A worker-operated machine produces a defective item with prob- ability 0.01 if the worker follows the machine's operating instructions exactly, and with probability 0.04 if the worker does not. The worker follows the instructions 95% of the time. If an item is selected from all items produced by the machine and found that it is a defective item, what is the probability that item was produced by the worker without following machine's operating instructions.