Question: Two numbers are chosen (without replacement) from the set {1,2,3,4}. Let X be the smaller number and Y the product of the two numbers. (a)Write

Two numbers are chosen (without replacement) from the set {1,2,3,4}. Let X be

the smaller number and Y the product of the two numbers.

  1. (a)Write down the joint probability mass function table for X and Y .
  2. (b)FindP(Y =3X).
  3. (c)Without computing anything, do you think the correlation between X and Y will be positive or negative? Explain.

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