Section – A: I. Answer any ten of the following questions. 10 × 1 = 10 1. Define fertility. 2. If NRR per woman is less than 1, then what does it indicate about the population? 3. What is longevity? 4. What is the value of index number for the base year? 5. Write the formula of quantity relative. 6. State the condition required to satisfy circular test. 7. Which price of the commodities are used in the construction of cost of living index number? 8. Define time series. 9. What is Historigram? 10. Write the relationship between mean and variance of a Bernoulli distribution. 11. Write down the range of a Poisson distribution. 12. Find mode of a chi-square variate with 8 degrees of freedom.
Section – B: II. Answer any ten of the following questions. 10 × 2 = 20 13. Given P0 = 8000, Births = 200, Deaths = 120. Estimate the population if it is free from migration. 14. In a life table, if l1 = 95,400 and l2 = 93,492 then, find survival ratio of the first year. 15. Which average is considered as the best average in the construction of index number? Why? 16. State two norms (considerations) for the selection of base year. 17. If L P01 = 101.6 and F P01 = 99.6, find P P01 18. Mention any two uses of time series. 19. Name four methods of measuring trend. 20. Write two assumptions of interpolation and extrapolation. 21. Mention two features of binomial distribution. 22. Find P(X = 0) in a Poisson distribution with mean 5. 23. Mean and variance of a normal distribution are 12 and 4 respectively. Find points of inflexion. 24. If the parameter of t-distribution is 6, find mean and variance.
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