Take home exercise 5 In a factory, machine A produces 70% of the items (1 of every 20 is defective) machine B produces 10% (1 of every 100 is defective) machine C produces 20% (of which 2% are defective) An item is selected at random from a day's production of 1000 items. What is probability that the item is defective? Ans. 0.04 A randomly selected item is found to be defective. What is the probability that it was produced by A? Ans p(A/Defective) 35/40 Quality Total Non- Defective Defective (0.95)(700)= 665 700 (0.05)(700)= 35 A 99 100 Machine 1 B NTRAL OP 200 196 4 1000 960 Total 40 esc F9 F4 F10 F12 & 7 88 5 3 4 2 delete T Q U O E R W P D F A G K return Z X V М shift option command command option 7 O I CO CO LL

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