Define our “universe†S as the region in the xy-plane that isdescribed by S = {(x, y) : |x| + |y| ≤ 2 and y > −1} .
(a) Mathematically and graphically describe three sets A1, A2,and A3 taken from S that are mutually exclusive but notcollectively exhaustive.
(b) Mathematically and graphically describe three sets B1, B2,and B3 taken from S that are collectively exhaustive but notmutually exclusive.
(c) Mathematically and graphically describe three sets C1, C2,and C3 that form an event space for S. Make the area of C2 equaltwice the area of C1, and make the area of C3 equal to three timesthe area of C1.
