Actuarial Notes

Exam P Practice Question 939

Study guide: Exam P-1

The joint probability density function of X and Y is f(x,y) = 8xy for 0 < y < x < 1.

Calculate the marginal density of X and find E[Y \mid X = x].

  • A) f_X(x) = 4x^3; E[Y|X=x] = x/3
  • B) f_X(x) = 4x^3; E[Y|X=x] = 2x/3
  • C) f_X(x) = 2x^2; E[Y|X=x] = x/2
  • D) f_X(x) = 4x^3; E[Y|X=x] = x/2
  • E) f_X(x) = 2x^3; E[Y|X=x] = 2x/3

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