Question: Task 6: Probability distributions with socks (4 marks total) A drawer contains 5 pairs of green socks, 3 pairs of black socks, and 4 pairs

Task 6: Probability distributions with socks

(4 marks total)

  1. A drawer contains 5 pairs of green socks, 3 pairs of black socks, and 4 pairs of red socks. All of the pairs are together, meaning that there are not 24 randomly distributed socks, but 12 pairs. You reach into the drawer and pull out 3 pairs of socks without putting any back.
  2. Is this a binomial or a hypergeometric distribution? Explain.(1 mark)
  3. What is the probability that you get 2 pairs of green socks? Leave your answer as a fraction in lowest terms.(2 marks)
  4. What is the expected number of pairs of green socks?(1 mark)

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