A Given the probabilities in the table below for events in a sample space S, solve Problems 1-16 relative to these probabilities. D E Totals A .10 .40 .50 1. P(B) 3. P(BND) 5. P(D|B) 7. P(B|D) 9. P(D|C) 11. P(A/C) B .04 .26 .30 C .06 .14 .20 In Problems 1-4, find each probability directly from the table. A and D 15. C and D 2. P(E) 4. P(CNE) In Problems 5-12, compute each probability using equa- tion (1) and appropriate table values. Totals 6. P(C|E) 8. P(E|C) 10. P(E|A) 12. P(B|B) .20 .80 1.00 In Problems 13-16, test each pair of events for indepen- dence: 14. A and E 16. C and E Work