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In a local bakery, the probability that a customer is "very satisfied" with their purchase is \(0.65\). We consider a sequence of 3 customers.
  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 "very satisfied" customers. 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 customers are very satisfied: \(P(X=0)\)
    2. the probability that exactly one customer is very satisfied: \(P(X=1)\)

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