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A modified deck of cards is created with two 2s, three 3s, four 4s, and five 5s. The random variable X is defined as the

A modified deck of cards is created with two 2s, three 3s, four 4s, and five 5s. The random variable X is defined as the number of 3s drawn when 5 cards are picked without replacement, and the variable Y is defined as the number of 3s drawn when 5 cards are picked with replacement.

  1. Create probability distribution tables for X and Y. Bold text start(7 marks)Bold text End
  2. Find the expected value of X and Y. Bold text start(6 marks)

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