Homework2

question 9

Question 9 Suppose that we have a sample space S = {E1, E2, E3, E4, Es}, where E1, E2, E3, E4, Es denote the sample points. The following probability assignments apply P(E1) = 0.1, P(E2) = 0.15, P(E3) = 0.2, P(E4) = 0.25, and P(Es) = 0.3. Let A = {E1,E2}, B = {E2,E3}, and C = {E1, E4,Es). Find P (Ban CS). a. 0.35 O b. 0.65 O c. 0.1 O d. oQuestion 10 Suppose that we have a sample space S = {E1, E2, E3, E4, Es}, where E1, E2, E3, E4, Es denote the sample points. The following probability assignments apply P(E1) = 0.1, P(E2) = 0.15, P(E3) = 0.2, P(E4) = 0.25, and P(Es) = 0.3. Let A = {E1,E2}, B = {E2,E3), and C = {E1, E4,Es). Are events A and C mutually exclusive O a. No O b. YesQuestion 12 Suppose that we have a sample space S = {E1, E2, E3, E4, Es}, where E1, E2, E3, E4, Es denote the sample points. The following probability assignments apply P(E1) = 0.1, P(E2) = 0.15, P(E3) = 0.2, P(E4) = 0.25, and P(Es) = 0.3. Let A = {E1,E2}, B = {E2,E3), and C = {E1, E4,Es}. Are events A and C independent? O a. Yes O b. NoSuppose that we have a sample space S = {E1, E2, E3, E4, E5}, where E, E2, E3, E4, E5 denote the sample points. The following probability assignments apply P(E1) = 0.1 , P(E2) = 0.15, P(E3) = 0.2, P(E4) = 0.25, and P(E5) = 0.3. Let A = {E1512}: B = {Bag}, and C = {E13435}. Find P (Ac u B). O al0.9 O b.0.6 O C. 0.15 O d.0.35