The joint probability density function of x and y is given by f(x, y) = 6/7 (x^2 + xy/2), 0 < x < 1, 0 < y < 2
a. verify that this is indeed a joint density function.
b. compute the density function of x.
c. find p(x > y)
d. find p(y > 0.5 x < 0.5)

Which is a logical conclusion based on the given information? a. figure abcd is a rhombus by the definition of a rhombus. b. segment ac is congruent to segment dc by cpctc. c. angle acb is congruent to angle adc by the angle-side-angle theorem. d. triangle acd is congruent to triangle cab by the hypotenuse-leg theorem.