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A postal company sends packages to its customers. The company has a record that the packages get lost independently from one another with a probability

A postal company sends packages to its customers. The company has a record that the packages get lost independently from one another with a probability of 0.04 or the packages break with a probability of 0.10.

  1. What is the probability that a package sent, will arrive intact?
  2. What is the probability that a package sent, will arrive broken?
  3. If we send 100 packages, that are independently handled from one another. Let X be the amount of packages that arrive intact. What is the distribution of X, the E(x) and the Var(X)
  4. What is the probability that from 100 packages at least 88 arrive intact?

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