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The probability that a light bulb produced by a factory is defective is \(0.08\). We consider a sequence of 3 bulbs tested.
  1. What hypothesis must be made to model this situation as a Bernoulli scheme?
  2. Let \(X\) be the random variable that counts the number of defective bulbs. Represent this situation with a tree diagram, indicating the value of \(X\) at the end of each path.
  3. Using the tree, calculate:
    1. the probability that no bulbs are defective: \(P(X=0)\)
    2. the probability that exactly one bulb is defective: \(P(X=1)\)

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