4. Disprove that for any sets A, B, and C, A- (B-C) (A-B)-C. 5. Prove that for any sets A, B, and C, (A- B) n(A-C)CA-(B-C). 6. Let A, B, and C be sets. Prove that Bn(AUC) C AU(BnC). 7. Let A, B, C, and D be sets. Prove that if AUBCCUD, AnB= 0. and C C A, then BC D. 8. Let A, B, and C be sets. Disprove that AU (BnC) = (AUB)nc. %3D 9. Prove that for any sets A, B, and C, An (BUC) = (An B)U (Anc). %3D 10. Prove that for any sets A, B, and C, if A C B, then AU (BnC) = Bn(AUC). %3D 11. Prove that for any sets A, B, and C, (A- B) – C = A – (BUC). 12. Prove that for any sets A and B, (A- B)° = A° UB. 13. Prove that for any sets A, B, and C, (A- B)nC and (A - C)NB are disjoint. 14. Let A, B, C, and D be sets. Prove that if A C B, C C D, and BnD=0. then A and C are disjoint. 15. Prove that for any sets A, B, and C, if BnC C A, then C-A and B- are disjoint.

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.