The next five questions (7 to 11) refer to the following: Winnipeg has three professional sports...

 

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The next five questions (7 to 11) refer to the following: Winnipeg has three professional sports teams - the Winnipeg Jets hockey team, the Winnipeg Blue Bombers football team and the Winnipeg Goldeyes baseball team. Suppose we have the following information about Winnipeg residents: 55% are Jets fans (J). 20% are Goldeyes fans (G). 50% are Bombers fans (B) or Goldeyes fans. 27% are Jets fans and Bombers fans. 11% are Jets fans and Goldeyes fans. 10% are Bombers fans and Goldeyes fans. 6% are fans of all three teams. 7. What is the probability that a randomly selected Winnipeg resident is a Bombers fan? (A) 0.30 (B) 0.35 (C) 0.40 (D) 0.45 (E) 0.50 8. Which of the following statements is true? (A) Events J and B are independent. (B) Events J and G are mutually exclusive. (C) Events J and G are independent. (D) Events B and G are mutually exclusive. (E) Events B and G are independent. 9. What is the probability that a randomly selected Winnipeg resident is a fan of none of the three teams? (A) 0.21 (B) 0.23 (C) 0.25 (D) 0.27 (E) 0.29 10. If we take a random sample of 12 Winnipeg residents, what is the probability that exactly three of them are Goldeyes fans? (A) 0.2084 (B) 0.2137 (C) 0.2256 (D) 0.2362 (E) 0.2419 זר 11. If we take a random sample of 500 Winnipeg residents, what is the approximate proba- bility that less than half of them are Jets fans? (A) 0.0122 (B) 0.0287 (C) 0.0351 (D) 0.0446 (E) 0.0594 The next five questions (7 to 11) refer to the following: Winnipeg has three professional sports teams - the Winnipeg Jets hockey team, the Winnipeg Blue Bombers football team and the Winnipeg Goldeyes baseball team. Suppose we have the following information about Winnipeg residents: 55% are Jets fans (J). 20% are Goldeyes fans (G). 50% are Bombers fans (B) or Goldeyes fans. 27% are Jets fans and Bombers fans. 11% are Jets fans and Goldeyes fans. 10% are Bombers fans and Goldeyes fans. 6% are fans of all three teams. 7. What is the probability that a randomly selected Winnipeg resident is a Bombers fan? (A) 0.30 (B) 0.35 (C) 0.40 (D) 0.45 (E) 0.50 8. Which of the following statements is true? (A) Events J and B are independent. (B) Events J and G are mutually exclusive. (C) Events J and G are independent. (D) Events B and G are mutually exclusive. (E) Events B and G are independent. 9. What is the probability that a randomly selected Winnipeg resident is a fan of none of the three teams? (A) 0.21 (B) 0.23 (C) 0.25 (D) 0.27 (E) 0.29 10. If we take a random sample of 12 Winnipeg residents, what is the probability that exactly three of them are Goldeyes fans? (A) 0.2084 (B) 0.2137 (C) 0.2256 (D) 0.2362 (E) 0.2419 זר 11. If we take a random sample of 500 Winnipeg residents, what is the approximate proba- bility that less than half of them are Jets fans? (A) 0.0122 (B) 0.0287 (C) 0.0351 (D) 0.0446 (E) 0.0594

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