Consider the following bivariate distribution p(x, y) of two discrete random variables X and Y . X x1 x2 x3 x4 x5 Y y3 y2 y1 0.01 0.02 0.03 0.1 0.1 0.05 0.1 0.05 0.07 0.2 0.1 0.05 0.03 0.05 0.04 Compute: a. The marginal distributions p(x) and p(y). b. The conditional distributions p(x|Y

2x - 20 = 32 20 - 3x = 8 6x - 8 = 16 -13 - 3x = -10

You decide instead to take the train there. the train will take 135 minutes. convert this into hours and minutes.

Given: hf || jk; hg ? jg prove: fhg ? kjg to prove that the triangles are congruent by asa, which statement and reason could be used as part of the proof? fgh ? kgj because vertical angles are congruent. jkg ? hfg because vertical angles are congruent. fhg ? jkg because right angles are congruent. hfg ? kjg because alternate interior angles are congruent.