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A milk container is supposed to contain 2 Liters of milk, but 10% of the time,...

  1. A milk container is supposed to contain 2 Liters of milk, but 10% of the time, it is underweight. The milk containers are shipped to retail outlets in boxes of 20 containers.                                             (10 points)
  2. Let X be the number of underweight containers in a box. Explain why X is a binomial random variable.
  3. What is the probability that exactly three of the twenty containers are underweight? (On this part, write out the formula, even if you evaluate with technology).

C.What is the probability that at most three of the twenty containers are underweight?

D.What is the expected value and variance of the number of containers that will be underweight?

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