statsdept

Subject: STATISTICS, Paper-IV: Inference Time: 3 hrs                                                                                                          Max. Marks: 80                                                         ...

SECTION - A I. Answer any Five questions :                                                                  5 X 3=15M 1. Define OR & Explain its scope of OR. 2. Explain the procedure of VAM method. 3. Explain the procedure of Big M-Method. 4. Solve the following LPP graphically Min z= -6X 1 -4X 2    subject to the constraints 2X 1 +3X 2  >=   30 ,   3X 1 +2X 2 <= 24   ,   X 1 +X 2  >=3  and   X 1 , X 2 0 . 5. State and prove fundamental theorem of LPP. 6. Explain the concept of Travelling salesman problem. 7. Concept of Transhipment problem. 8. Explain sequencing problem. SECTION – B ...

SECTION - A Answer any Five questions :                                                                   (5*4=20M)        1. Define Binomial distribution. Obtain mean and variance. 2. Derive mode of Poisson distribution. 3. Derive m.g.f of Poisson distribution. Hence find mean and variance. 4. Define Exponential distribution. Obtain mean and variance. 5. Obtain median of the Normal Distribution. 6. State Central limit theorem 7. Define Beta Distribution of 1 st and 2 nd kind. 8. State and prove Additive property of Geometric distribution. SECTION - B Answer all four questions :        ...