04 prob 3 Bayes rule - two more Q's

Youpickaboxatrandomandtestarandomlychosenlightbulb

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Unformatted text preview: ’s staff puts the light bulbs from Vendor 1 in a box, and it puts the light bulbs from Vendor 2 in an identical‐looking box. You pick a box at random, and test a randomly‐chosen light bulb from that box. a) Find the probability that the light bulb you chose will be defective. b) Find the probability that the box you chose is from Vendor 2 given that the chosen light bulb is defective. c) Find the probability that the chosen box was from Vendor 2 given that two randomly‐ chosen light bulbs from the chosen box are defective (assume there are so many light bulbs in the shipment that the...
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