8. Let P(A) P(B) - 1/3 and P(AnB) 1/10. Find the following: (b) P(AUB') () P(Bn...
1 Let A and B be independent events with P(A) and P(B) = FICE Find P(ANB) and P(AUB). 8 P(ANB) = P(AUB) =
If P(A)=0.7 ,P(B') = 0.6 and P(AUB)=0.9, then P(ANB) = ? 2. If P(A)=0-7, P(B)=0.6 and P(AUB) - 0.9, then plAl(AUB)) = ? 3 Afair dice is rolled, probability of getting a number & such that 1 <x<8 is = ?
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...
22. SupposeRA 70,p6-60 and P(AUB),75. Find P(AnB)
(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)
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) (ANB) (5) (ANBNC) (4) AC
2.4. Prove AN(BUC) -An B)U(ANC) P(AUB) = PCA)+PCB)- P(ANB)
Let A and B be events with probabilities P(A)-3/4 and P(B)-1/3 (a) Show that 12 3' (b) Let P(AnB) - find PA n Bc).
(1) If A and B are two events suchthat PA)1.P(B) -and P(AnB) -.Determine the following: 3 i) P(AU B) v) PCA'U B) ii) P(A'n B) vi) P(A'- B) iv) P(AnB') viii) P(A'-B')