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Pune University - Quantitative Biology, April 2010

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Total No. of Questions : 5] P1007 [Total No. of Pages : 4 [3725] - 102 M.Sc. MICROBIOLOGY MB - 502 : Quantitative Biology (2008 Pattern) Time : 3 Hours] Instructions to the candidates: 1) All questions are compulsory. 2) All questions carry equal marks. 3) Draw neat labeled diagrams wherever necessary. 4) Use of statistical tables and calculator is permitted. 5) Assume suitable data if needed. [Max. Marks : 80 Q1) Attempt any two of the following : [16] a) Describe the various measures of central tendency. State merits and demerits of arithmetic mean. b) In a survey of 198 farmers the following data was obtained. Awareness Land Owned Low High High (>5h) 40 12 10 Medium (1h - 5h) 22 10 14 Low (<1h) c) Medium 22 26 42 Test of the association of the extent of land owned with the awareness. Use 5% level of significance. Following are the figures recorded for supply and price for nine years of a commodity. Obtain the regression equation of price on supply. Years 1981 1982 1983 1984 1985 1986 1987 1988 1989 Supply 80 82 86 91 83 85 89 86 92 Price 145 140 130 124 133 127 120 110 114 Also estimate the most likely price when supply is 90. P.T.O. Q2) Attempt any two of the following : a) [16] Define the following terms : i) Type 1 error. ii) Level of significance. iii) Null hypothesis. iv) Standard error. b) The dissolved oxygen of water of a river connected by an effluent channel of a caustic chlorine was measured at 3 different stations. First station was situated at a distance of 250m upstream, second station at the region of confluence of the effluent channel and the third at a distance of 250m downstream. The results are shown as mg of O2 per liter of water. Location of stations along the river I II III Upstream Middle Zone Downstream 5.2 3.8 4.8 4.9 3.3 4.9 5.3 3.5 4.7 4.8 3.7 5 5.1 4 5.1 Perform an analysis of variance to show whether there are significant differences in the dissolved O2 of the river water at the 3 stations. Use 1% level of significance. c) If the capacities of the cranial cavities of a certain population are approximately normally distributed with a mean of 1400 cc and a standard deviation of 125, find the probability that a person randomly picked from this population will have a cranial cavity capacity : i) Greater than 1450 cc. ii) Less than 1350 cc. iii) Between 1300 cc and 1500 cc. [3725]-102 2 Q3) Attempt any two of the following : a) Write short note on the following : i) Correlation. ii) b) [16] Binomial distribution. Grain lengths of two varieties of rice are given below. Calculate the mean and coefficient of variation of grain length of the two varieties. Which variety is more consistent? Why? Variety A Variety B Grain Length mm Grain Length mm No. of Grains 8-10 4 8-10 1 11-13 6 11-13 3 14-16 5 14-16 2 17-19 3 17-19 4 20-22 c) No. of Grains 2 20-22 3 i) Draw a frequency polygon for the following data : Monthly house rent 500-700 700-900 No. of Families ii) 6 16 24 20 10 4 In a certain population an average of 13 new cases of esophageal cancer are diagnosed each year. If the annual incidence of esophageal cancer follows a poisson distribution, find the probability that in a given year the number of newly diagnosed cases of esophageal cancer will be : 1) Exactly 10. 2) [3725]-102 900-1100 1100-1300 1300-1500 1500-1700 Fewer than 2. 3 Q4) Write short notes on any four of the following : a) Population interaction. b) Uses of Internet in Biology. c) Use of computers in biology. d) t-test. e) [16] Variable and Attribute. Q5) Attempt any two of the following : [16] a) Explain SIR model to study disease epidemiology. b) What is modeling? State the applications of modeling in biology. c) Explain in brief logistic growth model. vvvv [3725]-102 4

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Additional Info : M.Sc. MICROBIOLOGY, MB - 502 : Quantitative Biology (2008 Pattern), Pune University
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