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. ( Boro . 27% are Jets fans and Bombers fans. (5 . 11% are Jets fans and Goldeyes fans. (3no . 10% are Bombers fans and Goldeyes fans. ( . 6% are fans of all three teams. (J.20.28) (Born= PCB) + PLC) - PCBOO 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 . 5Oz PLBH 0.20 - 0.10 (D) 0.45 (E) 0.50 P.(B).-40 8. Which of the following statements is true? (A) Events J and B are independent. (B) Events J and G are mutually exclusive.P(J x PCy Events J and G are independent. O.SSx 020 =0 .1) (D) Events B and G are mutually exclusive. Jnu - o-lly. iso.u (E) Events B and G are independent. What is the probability that a randomly selected Winnipeg resident is a fan of none of the three teams? -RUD+PLA) +Ple) (A) 0.21 (B) 0.23 (C) 0.25 (D) 0.27 (E) 0.29 I-To.ss+0 .201040 10. If we take a random sample of 12 Winnipeg residents, what is the probability that exactly three of them are Goldeyes fans? X- 2 n2 12 P=020 75 1-0.20 :08 (A) 0.2084 (B) 0.2137 (C) 0.2256 )0.2362 (E) 0.2419 (Do.20* (0 6) 2 -3 = 0.2362 4011 . 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 ? C 1 ( A ) 0. 0122 ( B ) 0. 0287 ( C ) 0 . 0351 ( D ) 0 . 04 46 ([ ) 0. 05.94