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(Solved): 10.10 Let xN(0,1),YN(0,3) be independent from each other. Let M be a randomly choosen point on ...
10.10 Let x?N(0,1),Y?N(0,3) be independent from each other. Let M be a randomly choosen
point on the plane with coordinates (x,Y). What is the probability that
(a) Min{(x,y)inR^(2):0<=x<=2,|y|<=1};
(b) Min{(x,y)inR^(2):x+y<3};
HW (c) (2 points) Min{(x,y)inR^(2):1<=\sqrt(3)|x|+|y|<=3} (Hint: Rotate the domain);
HW (d) (2 points) Min{(x,y)inR^(2):1<=3x^(2)+y^(2)<=3} (Hint: Polar coordinates);
& pointsMin{(x,y)inR^(2):x+y<=0,-2<=y,|x|<=1} ?