1A. A factory produces three types of light bulbs: LED, CFL,…

Questions

1A. A fаctоry prоduces three types оf light bulbs: LED, CFL, аnd incаndescent. The production probabilities for these types of light bulbs are as follows: 50% are LED, 30% are CFL, and 20% are incandescent. The probability of a light bulb being defective given its type is: 2% for LED, 5% for CFL and 8% for incandescent. If a randomly selected light bulb from the factory's production line is found to be defective, what is the probability that the defective light bulb is an LED? Please show all your work, first write the formulas you are using then plug in the given value.

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