I measured the cooling rate (X) and surface hardness (Y) of a material and put each of them to three groups, (XL,XM,XH) and (YL,YM,YH) as follows, where L,M and L mean low medium and high level of measurement. The number in a cell of the table is the frequency observed. (Problems 14 ) 1. Find Prob(XXM) 2. Find Prob(X=XH and YYM). 3. Find Prob(YYMXXM) 4. Find E[X] (Hint: First calculate the marginal probability that X=1,2,3, respectively. And then Use E[X]=XiPi).