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If a machine is correctly set up. it pro...

If a machine is correctly set up. it produces 90% acceptable items. If it is incorrectly set up, it produces only 40% acceptable items. Past experience shows that 80% of the set ups are correctly done. If after a certain set up, the machine produ

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A factory has two machines X and Y .X produces 70% and Y produces 30% of the items of which items produced by X have 5% defective items and items produced by Y have 8% defective. An item is drawn at random for the product and is found to be defective. Find the probability that it was produced by Machine Y.

A factory has two machines A and B. Past record shows that machine A produced 60% of the items of output and machine B produced 40% of the items. Further, 2% of the items produced by machine A and 1% produced by machine B were defective. All the items are put into one stockpile and then one item is chosen at random from this and is found to be defective. What is the probability that it was produced by machine B?

A factory has two machines A and B . Past record shows that machine A produced 60% of the item of output and machine b produced 40% of the items. Further, 2% of the items produce by machine A and 1% produced by machine B wer efective. All the items are put into one stockpile and then one item is chosen at random from this and is found to be defective .What is the provability that it was produced by machine B ?