Answer
S={{0, 0, 0}, {1, 1, 1}, {1, 1, 0}, {1, 0, 0}}
a) A = {1, 1, 1}
b) B = {0, 0, 0}
c) A∩B = {Ø}
d) A∪B = {{1, 1, 1}, {0, 0, 0}}
Work Step by Step
Denote that 1 is positive and 0 is negative. So we have:
a) A = {1, 1, 1} because a replication is observed in 3 cells that all positive
b) B = {0, 0, 0} because a replication is observed in 3 cells that all negative
c) A∩B = {Ø} because A and B are independent variables.
d) A∪B = {{1, 1, 1}, {0, 0, 0}} . A and B are independent variables so A∪B equal to the value of A and B.