The population, of a country P, Explain why the events P and G are town years after the start of the not mutually exclusive. t year 2000 can be modelled by the equation (1A) The population at the start of the year 2000 was 9000 people. By [1 mark] how many people, to the nearest Represent the information on the had the population 10 people, Venn Diagram below. grown by the start of 2005? = 14 494.6 or 14 P(5) 14 494.6-9000 = 5490 (1A) [2 marks] In what year did the population first All correct (2A) reach 20 000? One (1A) >1 error (0A) (1M) [2 marks] = 8.3 t If a supporter is selected at random from this what is the probability 2008 (1A) that the supporter attended; [2 marks] i) Both the Preliminary and finals. The population, of a different country Q, town years after the start of the year 2000 t (1H) can be modelled by the equation [1 mark] State the population of this town to ii) The Preliminary, but not the Grand the nearest 10 people at the final. beginning of the year 2000 and the beginning of the year 2010. (1H) Yr 2000: (1A) P = [1 mark] Yr 2010 2680 (1A) P = iii) The Preliminary final, given that they did not attend the Grand final. [2 marks] During which year do both towns (1H) have the same population? [1 mark] 2003 (1A)
Explain why the events P and G are not mutually exclusive. (1A) [1 mark] Represent the information on the Venn Diagram below. All correct (2A) One (1A) >1 error (0A) [2 marks] If a supporter is selected at random from this what is the probability that the supporter attended; i) Both the Preliminary and finals. (1H) [1 mark] ii) The Preliminary, but not the Grand final. (1H) [1 mark] iii) The Preliminary final, given that they did not attend the Grand final. (1H) [1 mark] The population, P, of a country town t years after the start of the year 2000 can be modelled by the equation The population at the start of the year 2000 was 9000 people. By how many people, to the nearest 10 people, had the population grown by the start of 2005? P(5) = 14 494.6 or 14 14 494.6-9000 = 5490 (1A) [2 marks] In what year did the population first reach 20 000? (1M) t = 8.3 2008 (1A) [2 marks] The population, Q, of a different country town t years after the start of the year 2000 can be modelled by the equation State the population of this town to the nearest 10 people at the beginning of the year 2000 and the beginning of the year 2010. Yr 2000: P = (1A) Yr 2010 P = 2680 (1A) [2 marks] During which year do both towns have the same population? 2003 (1A)
Y11MM_Exam_2010_sem2_Paper2_answers.docx