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1 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
1-4) 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]=X1P1.)

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1 measured the cooling rate X and surface hardness Y of .pdf

  • 1. 1 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 1-4) 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]=X1P1.)