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A food scientist is testing chicken samples to determine whether they are infected with salmonella. Suppose...

  1. A food scientist is testing chicken samples to determine whether they are infected with salmonella. Suppose that she has a 5 batches, 2 of which are infected with salmonella. She randomly selects two of the batches and tests them for the bacteria. Let W denote the number of batches, out of the two tested, that are infected with salmonella.
    1. Find the probability mass function for W.
  1. What is the probability that both batches are infected?
  1. What is the expected number of infected batches?
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