statsdept

Model Paper - II Subject: STATISTICS, Paper-I: Descriptive Statistics and Probability Time: 3 hr                                                                                                         Max. Marks: 80 SECTION - A Answer any Five questions :                                                                         5 X 4 = 20 1.What are the differences between primary and secondary data. 2.Explain Kurtosis. 3.State and prove Baye’s theorem. 4.Explain classical and statistical definition of probability and give their limitations. 5. Suppose that X is uniformly distributed over (0,2) .Find the density of Y=X 2 6.Define distribution function and state its properties.     7.Define PGF and find its mean and variance. 8.State and prove addition theorem of expectation. SECTION - B Answer all 4 Questions:                                                                                4 X 15 = 60 9.(a).(i).Explain secondary data. What are the sourc

Model Paper - II Subject: STATISTICS             Paper-III: Statistical Methods              Time: 3 hr                                                                                                           Max. Marks: 80 SECTION - A Answer any Five questions :                                                                                    5 X 4 = 20 1. Show that correlation coefficient is the geometric mean between two regression coefficients. 2. Explain correlation ratio. 3. Define partial and multiple correlation coefficients . 4. Define (i). Class and class frequency     (ii).Ultimate class frequency 5. Obtain relation between t and F distributions. 6. Define unbiasednees and consistency of an estimator. 7. Obtain sufficient estimator for the parameter l of poison distribution.    8. Explain point and interval estimation. SECTION - B Answer all 4 Questions:                                                                                   

Model Paper Subject: STATISTICS               Paper-V: Applied Statistics             Time: 3 hr                                                                                                       Max. Marks: 60 SECTION - A Answer any Five questions :                                                                        5 X 3 = 15 1.Discuss briefly the basic principles of sample survey. 2. In stratified random sampling, optimum allocation, Prove that V(y st ) is minimum if   n i    is proportion to  N i S i /  Ci 3. Explain the methods of selecting simple random sample. 4. In usual notations, prove that the systematic sample mean is more efficient than the mean of a simple random sample taken without replacement if S 2 wsy  is greater than to  S 2 . 5 . What are the components of time series. 6. Explain additive model of time series. 7. Explain the concepts of base shifting, splicing. 8. Explain constant price elasticity of demand. SECTION - B

Model Paper - I Subject: STATISTICS Paper-I:Descriptive Statistics and Probability Time: 3 hrs                                                                                                             Max. Marks: 80                                                                  SECTION - A                                               Write any Five questions:                                                                                          5 X 4 = 20 1 . Explain Sheppard corrections for moments. 2. Prove that Karl Pearson’s coefficient of skewness lies between -3 and +3. 3. Give mathematical and axiomatic definitions of probability. 4. State and prove addition theorem of probability for two events. 5. Define distribution function and state its properties.                                    6. Define one-dimensional random variable. Write the procedure for transformation of     one-dimensional random variable. 7. State and prove Cauchy Schwart

Model Paper - I Subject: STATISTICS, Paper–III: Statistical Methods Time: 3 hrs                                                                                                       Max. Marks: 80M                                                               SECTION - A                                                  Write any Five questions                                                                                          5 X 4 = 20 1. Derive the limits for rank correlation coefficient . 2. Two variables X and Y with 50 pairs of observations found to have mean and standard deviation  10, 3 and  6, 2  respectively and r (x,y) = 0.3. But subsequently it was found that one pair of values X = 10 and Y = 6 were wrong and hence weeded out with remaining 49 pairs of observations, find how much the value of   ‘r' is affected . 3. Define Karl Pearson’s coefficient of contingency . 4. Define consistency. How do you check it for two attributes. 5. Define t-distr