Question: a is a positive real number; f(x, y) = c(x^2)y, c R; w/ support0 y x a Find: c so f represents a probability density

"a" is a positive real number; f(x, y) = c(x^2)y, c R; w/ support0 y x a

Find:

  • c so f represents a probability density function of random variables X and Y
  • marginal distributions of X & Y
  • E(X) & E(Y)
  • P(X a/3)
  • P(Y x/2)

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