In: Statistics and Probability
Which of the following are valid relationships in set theory? Explain why or why not.
(a) (A or B or C)' = A' or B' or C'
(b) A or B or C = A or (A' and B) or [[A or (A' and B)]' and C]
(c) (A or B) and (A' or B') = (A and B') or (A' and B) or (A' and B and C')
(d) (A and B) or (A and B') or (A' and B) = (A' and B')'