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A factory produces light bulbs, and it is known that \(5\pourcent\) of them are defective. A quality control inspector randomly selects \(40\) bulbs from the production line. Let \(X\) be the random variable representing the number of defective bulbs in the sample.
  1. What probability distribution does \(X\) follow? Justify your answer.
  2. Calculate the probability that exactly three bulbs are defective (round to three decimal places).

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