# (1 - 21) = {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16) A = {0,2,4,8...

## Transcribed Text

(1 - 21) = {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16) A = {0,2,4,8,12,16) A -B B = {1,2,3,5,8,13} C = (1,2,3,4,7,11} 1. Fill in the Venn Diagram (8 points) 2. (T/F) A and {3,5,7,9} are disjoint. 2. 3. (T/F) {1,2,3,4} is a subset of B. 3. 4. (T/F) 2 € C. 4. e C 5. B UC. 5. 6. AnC 6. 7. ~ AnB 7. 8. BU~A. 8. 9. ~UnU 9. (10 - 12) In a parking lot containing 200 cars, there are 125 cars with automatic transmissions, 140 with rear-wheel drive, and 125 cars with four-cylinder engines. Of the cars with automatic transmissions, 100 also have rear-wheel drive. Of the cars with rear-wheel drive, 105 also have four-cylinder engines. Of the cars with four-cylinder engines, 95 also have automatic transmissions. There are 80 cars with all three features. 10. How many of the cars have both four cylinder engines and rear wheel drive? 10. 11. How many of the cars have automatic transmissions and rear wheel 11. drive but not 4 cylinder engines? 12. How many of the cars have exactly one of the three features ? 12. (13 - 18) A and B are independent events. C and B are mutually exclusive. Given: P(A)=²,P(AnB) = 13. What is P(~A)? 13. 14. What is P(B)? 14. 15. What is P(A|B)? 15. 16. What is P(B N C) ? 16. 17. What is P(B UA) ? 17. 18. What is P(~BU~A)? ~ 18. (19 - 21) A bag contains 5 red marbles and 4 green marbles. A marble is selected, replaced, and then another marble is selected. 19. P(Red on first selection)? 19. 20. P(Red of the first and Green on second selection)? 20. 21. Is the selection of the second marble independent of the selection of the first marble? 21. (22 - 24) A bag contains 5 red marbles and 4 green marbles. A marble is selected, and then another marble is selected. 22. P(Red on first selection)? 22. 23. P(Red of the first and Green on second selection)? 23. 24. Is the selection of the second marble independent of the selection of the first marble? 24.

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