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Mathematics HL - May 2007 TZ1 - P3

# Mathematics HL - May 2007 TZ1 - P3 - 1 hour IB DIPLOMA...

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IB DIPLOMA PROGRAMME PROGRAMME DU DIPLÔME DU BI PROGRAMA DEL DIPLOMA DEL BI M07/5/MATHL/HP3/ENG/TZ1/XX MATHEMATICS HIGHER LEVEL PAPER 3 Wednesday 16 May 2007 (afternoon) INSTRUCTIONS TO CANDIDATES Do not open this examination paper until instructed to do so. Answer all the questions in one section only. Unless otherwise stated in the question, all numerical answers must be given exactly or correct to three signifcant fgures. 2207-7206 10 pages 1 hour © IBO 2007 22077206

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M07/5/MATHL/HP3/ENG/TZ1/XX 2207-7206 – 2 – Please start each question on a new page. Full marks are not necessarily awarded for a correct answer with no working. Answers must be supported by working and/or explanations. In particular, solutions found from a graphic display calculator should be supported by suitable working, e.g. if graphs are used to fnd a solution, you should sketch these as part oF your answer. Where an answer is incorrect, some marks may be given for a correct method, provided this is shown by written working. You are therefore advised to show all working. SECTION A Statistics and probability 1. [Maximum mark: 18] A zoologist believes that the number of eggs laid in the Spring by female birds of a certain breed follows a Poisson law. She observes 100 birds during this period and she produces the following table. Number of eggs laid Frequency 0 10 1 19 2 34 3 23 4 10 5 4 (a) Calculate the mean number of eggs laid by these birds. [2 marks] (b) The zoologist wishes to determine whether or not a Poisson law provides a suitable model. (i) Write down appropriate hypotheses. (ii) Carry out a test at the 1 % signifcance level, and state your conclusion. [16 marks]
M07/5/MATHL/HP3/ENG/TZ1/XX 2207-7206 – 3 – Turn over 2. [Maximum mark: 12] The ten children in a class were each given two puzzles and the times taken, in seconds, to solve them were recorded as follows. Child

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Mathematics HL - May 2007 TZ1 - P3 - 1 hour IB DIPLOMA...

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