can I please get some help on numbers 7-10? 5.2 ASSESS YOUR UNDERSTANDING VOCABU

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can I please get some help on numbers 7-10?

5.2 ASSESS YOUR UNDERSTANDING VOCABULARY AND SKILL BUILDING 1. What does it mean when two events are disjoint? 2. II E and F are disjoint events, then PIE or F)- 3. If E and Fare not disjoint events. tben P( E or F) 4. What does it mean when two events are complements? In Problems P(E)-0.25 13. Find P 14. Find P 15. Find Po 16. Find P 17. Find P 18. Find P n Problems S-12, a probability experiment is conducted in which the sample space of the experiment is S 11,2,3,4.5,6,7,8.9, 10, 11, 12). Ler event E (2.3,4,5, 6,71,evend F (5,6,7,8,9). 19. If PIE event G-19. 10, 11, 121, and evenr H = 12, 3, 41. Assume that each outcome is equally likely 5. List the outcomes in E and F. Are E and Fmutually exclusive? find P(E) 6. List the outcomes in Fand G.Are Fand G mutually exclusive? 7. List the outcomes in For G. Now find P(F or G) by counting bag. If the the number of outcomes in F or G. Determine P(F or G) using find the pr find PYF) 20. If PF In Problen the General Addition Rule. 8. List the outcomes in E or H. Now find P(E or H) the number of outcomes in E or H. Determine PE or H) using the General Addition Rule 21. The g 9. List the outcomes in E and G. Are E and G mutually 24. The g exclusive? 10. List the outcomes in F and H. Are F and H mutually NW 25. Weap exclusive 11. List the outcomes in E. Find PlE'). 12. List the outcomes in F Find P(FP) the distril in 2009.

Explanation / Answer

From the given data

P(E) = 6/12 = 1/2; P(F) = 5/12; P(G) = 4/12 =1/3; P(H) = 3/12 = 1/4

P(F and G) = 1/12; P(E and H) = 3/12;

7) P(F or G) = P(F) + P(G) - P(F and G) = 5/12 + 4/12 - 1/12 = 8/12 = 2/3

8) P(E or H) = P(E) + P(H) - P(E and H) = 6/12 + 3/12 -3/12 = 6/12 = 1/2

9) E and G are mutually exclusive events ( Since P( E and G) = 0)

10) F and H are mutually exclusive events ( Since P( F and H) = 0)

10)

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