1. Let S = {1, 2, 3, 4, 5, 6}, E = {1, 2, 5}, F = {2, 4, 6}, and G = {2, 3}. Are
ID: 2902425 • Letter: 1
Question
1. Let S = {1, 2, 3, 4, 5, 6}, E = {1, 2, 5}, F = {2, 4, 6}, and G = {2, 3}. Are the events F and G mutually exclusive? A) yes B) no 2. Let S = {1, 2, 3, 4, 5, 6}, E = {2, 4, 6}, F = {1, 3, 5}, and G = {3, 4}. Are the events F and G complementary? A) no B) yes 3. Let S = {x, y, z} be a sample space of an experiment with outcomes x, y, and z. List all the events of this experiment. A) ?, {x}, {y}, {z}, {x, y}, {x, z}, {y, z}, S B) {x}, {y}, {z} C) ?, {x}, {y}, {z}, {x, y}, {x, z}, {y, z} D) {x}, {y}, {z}, {x, y}, {x, z}, {y, z} 6. An experiment consists of tossing a coin, rolling a die, and observing the outcomes. Describe the event
Explanation / Answer
1. B since 2 appears in both sets F and G
2. A since 3 appears in both sets, they are not complimentary
3. A all events of an experiment consists of null set and the set itself as well, apart from all other subsets
6. B odd number being rolled constitutes 1, 3 and 5 along with a head being tossed
7. B either transistor defective, both defective and both non defective
8. A ABC, ABD, ABE, ACD, ACE and ADE
9. A either 9 broken eggs or 10 broken eggs
10. E subset { 5 },{ 6 }, { 4 . 5 }, { 4. 6 }
11. C (842+538)/18686= 0.07
12. B (410+212)/900
13. D 88 million/179 million
14. C 2C1/110C1
15. C 3C1/10C1
16. B 30/(30+5+40)
17. A (6+6+18+8)/40
18. C 647/100000
19. A (236+240)/954
20. A 163767/1799738
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