Shade the appropriate area for the events listed 11. (A nC) U(An B) 12. (An Bnc)U(AnBnc)
Shade the appropriate areas for the event listed 13. (A UB) n(AUC)n (BUC) 14. (An B) U (A n C) U (B n c) 15. AnBnC
Shade the appropriate area on the Venn diagram for the event pictured. A union B(bar) union C. AUBU
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)
Prore BinCE (An B) u (CTA). Let XE Bnc.
1. (15pts) Events A, B and C are such that P(A) = 0.7, P(B) = 0.6, P(C) = 0.5, P(AnB) = 0.4 , P(AnC) = 0.3, P(BnC) = 0.2, P(AnBnC) Find (a) either B or C happens (b) at least one of A, B, C happens; c) exactly one of A, B, or C happens. 0.1.
1. Sketch the appropriate PDF, shade the indicated area, and determine the values of the following percentiles: (5 pts) z0025, 20. 975, 10.025,10, 10975.10,ズ0025.10,ズ0.975.10
6. (10 points) Let A, B, and C be sets. Prove (AuB)C(AnC) u(BnC)
#9-11 please 9. Let A and B be disjoint sets in the universe U. Let C be a proper subset of A. (a) Draw a Venn Diagram representing this information. (b) What is BAC? 10. Let A be a set in the universe U. (a) Draw a Venn Diagram and shade in the region A. Then draw another Venn Diagram with the same set A, but shade in A'. (b) What is A'U A? 11. Give an example of three...
11.) (12 pts) A-3.0 nC charge in on the x-axis at x =-9 cm and a +4.0 nC charge is at x = 16 cm. B. At what point or points on the x axis is the electric field zero?
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)