Let S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16). A= {1,3,5,7,9) B= {1,2,4,5,6,9} C= {2,6,9,10,12,14} Find: (1) (AUB) (3) (COB) (2)...
(2) Find their intersection and union: Let A={1,3,5,7,9}, B = {2, 4, 6, 8, 10}, C = {1,2,3,4,5}, (2a) (a) AnB =? (2b (b) AnC =? (c) AUB=? (2c). (d) AUC =? (20) (4) Express the following compound inequality: * <4 AND 3-1 (a) in set-builder notation:) (4a) (b) (graph it on the number line:) - -3 3 (c) (in interval notation:) (4c) (3) Answer the following questions: (if A and B are two sets) (a) (The keyword AND A...
3. Let A, B, C be events in a sample space S. Prove that (a) P(AUB) P(A)P(B), (b) P(AUBUC) P(A)+P(B)+P(C)-P(AnB)-P(Anc)-P(Bnc)+P(AnBnc)
(discrete math) i need help with sets 15. Let A={1,3,5,7,9), B - {3,6,9), C= {2,4,6,8) and U - {1,2,3,4,5,6,7,8,9). Find: a. AUB b. AnB And e. A-B f. P(B)
8. Let P(A) P(B) - 1/3 and P(AnB) 1/10. Find the following: (b) P(AUB') () P(Bn A (d) PA UB)
2. Let A = {1, 2, {3,4}} and let B = {1, 2, 3, 4]. Compute each of the following: (a) AUB (b) ANB (c) A | B (d) B\ A
2.2.28 2.4.8 2.4.50 five (a) AUB-B 80f (1) AnB=A et B five 2.2.28. Let events A and B and sample space S be define the as the following intervals: S={x : 0 < x < 10} A={x : 0 < x <5) the Characterize the following events: as (a) AC (b) An B (c) AUB (d) AnB (e) ACUB (f) AC n B 2.2.29. A coin is tossed four timo that chip together two additional red are pu back into...
Let A={a b c d e f} B={a c e g} C = {b d f} Find each: B = {a, c, e,g} C = {b,d,f} A= {a,b,c,d,e,f} Find: (2 points each) (a) AnB (b) AUB (c) Ang (d) COB (e) CUB (f) (An B)UC (g) An(BUC) (h) Ax B (i) C XB G) AB (k) C ( BA) (1) B2
05 (24 marks) Let A, B, and C be three events in the sample space S. Suppose we know that A U B U C-S, P(A)-1/2, P(B)-1/3, PALJ B-3/4. Answer the following questions: a) Find P(AnB). (4 marks) b) Do A, B, and C form a partition of S? Why? (4 marks) c) Find P(C-(AUB)). (8 marks) d) If P(Cn (AU B))-5/12, find P(C). (8 marks)
2. a) Let A and B be two events such that P(A) 4, P(B) .5 and P(AnB) 3 Find P(AUB). b) Let A and B be two events such that P(A)-5, P(B) 3 and P(AUB) .6. Find P(An B)
1. Let A, B and C be events in the sample space S. Use Venn Diagrams to shade the areas representing the following events (32 points) a. AU (ANB) b. (ANB) U ( AB) C. AU ( ANB) d. (AUB) N (AUC)