MATH1711_07

# MATH1711_07 - Durham University EXAMINATION PAPER date exam code May/June 2007 MATH1711/01 description DATA ANALYSIS MODELLING AND SIMULATION Time

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Durham University EXAMINATION PAPER date May/June 2007 exam code MATH1711/01 description DATA ANALYSIS, MODELLING AND SIMULATION Time allowed: 3 hours Examination material provided: Normal distribution table Graph paper Properties of Z -transform Instructions: Credit will be given for the best SIX answers. All questions carry the same marks. Use a separate answer book for each Section. Approved electronic calculators may be used except where a question explicitly forbids it. ED01/2007 Durham University Copyright continued

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2 MATH1711/01 SECTION A Use a separate answer book for this Section. 1. The table below shows the age structure of the UK population in 1971 and 1998. Each entry in the table is the number of thousands of people of the given age range in the given year. Age (years) 1971 1998 less than 1 899 715 1 to 4 3654 2956 5 to 14 8916 7709 15 to 24 8144 7190 25 to 34 6971 9232 35 to 44 6512 8505 45 to 59 10202 10820 60 to 64 3222 2818 65 to 74 4764 4965 75 to 84 2159 3205 85 to 89 358 742 90 and over 127 380 (a) For each year, draw a histogram of the distribution of age in the UK population. You should attempt to make it easy to observe the di±erences between the distributions. (b) Estimate the median age in 1998. (c) Describe the di±erences between the distributions. (d) What relationship would you expect there to be between the distributions? Do the data agree with your expectation? 2. The data below record the diameters of precision tools for drilling holes in car engines. During one working day, three tools of the same kind were measured at three times (8 am, 11 am and 3 pm), three measurements being taken at each time for each tool. The diameters are recorded in micrometres in excess of 25cm. 8am
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## This note was uploaded on 02/04/2011 for the course MATH 1711 taught by Professor Dru.picchini during the Spring '11 term at Durham.

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MATH1711_07 - Durham University EXAMINATION PAPER date exam code May/June 2007 MATH1711/01 description DATA ANALYSIS MODELLING AND SIMULATION Time

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