Question: Let's assume that the function f(x, y) = c(x+y) represents a joint probability mass function for x = 1, 2, 3 and y = 1,

Let's assume that the function f(x, y) = c(x+y) represents a joint probability mass function for x = 1, 2, 3 and y = 1, 2, 3. Determine

  1. The value of c
  2. P(X < 2.5, Y < 3)
  3. P(X = 2)
  4. E(Y)
  5. V(X)
  6. Marginal probability distribution of Y
  7. Are X and Y independent? Why or why not?

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