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.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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.
Transcribed Image 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.
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