6 In a model for hospital room charges X and hospital surgic

6. In a model for hospital room charges X and hospital surgical charges Y for a particular type of hospital admission, the region of probability (after scaling units) is 0

Solution

You want to find

E(Y?X)=?0?y?2x+1?3,0?x(y?x)f(x,y)dxdy=0.3?30?BA(y?x)(x+y)dxdy

So you\'ll need expressions for A,B, the bounds of the inner integration with respect to x.

To verify you have them correct, test that:

0.3?30?BA(x+y)dxdy=1