Download OU B.Sc 2016 April 3rd Year 5028E Statistics Question Paper

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Code No. 5028 / E

FACULTIES OF ARTS AND SCIENCE

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B.A./B.Sc. I Year Examination, March / April 2015

Subject : STATISTICS (Theory)

Paper - IV

Quality Control, Reliability and Operations Research (Elective-I)

Time : 3 hours Max. Marks : 100

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1. Explain the following terms:
   1. Control charts for variables
   2. Control charts for attributes
2. Explain the difference between specification limits, tolerance limits and control limits in SQC.
3. Each of 10 lots of rubber belts contain 1000 rubber belts. Number of defective rubber belts in those lots are 418, 421, 326, 335, 298, 315, 292, 301, 325 and 299. Draw control chart for fraction defective and give your conclusions.

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4. Explain the procedure of double sampling plan. Obtain ASN and OC functions for the same.
5. What is single sampling Plan? Discuss the relative merits and demerits of single and double sampling plans.
6. Define Reliability. Explain the importance of hazard function in the computation of failure density.
7. Define System reliability. Explain how to Compute the system reliability for K out of n system.
8. Define terms i) Linear Programming problem ii) Feasible solution iii) Basic feasible solution iv) Optimum basic feasible solution

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9. Solve the following LPP graphically
   Minimize Z= -6x1 — 4x2
   Subject to 2x1 + 3x2 > 30
   3x1 + 2x2 < 24
   X1+x2>3
   

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   and X1,X2>0

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Code No. 5028 / E

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11. What are surplus and slack variables? Explain Big-M method to solve an LPP.

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12. Apply principle of duality to solve the LPP and also read the primal solution
    Minimize Z= 12x1 + 20x2
    Subject to 6x1 + 8x2 = 100
    x1+ 12x2 >= 120
    and X1 ,X2 >=0

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13. Solve the following transportation problem for optimality. Use VAM for obtaining initial basic feasible solution.
    Market
    Warehouse A 12
    B 17
    C 14

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14. Solve the following assignment problem using Hungarian method for optimality.
    Tasks
    1 5
    2 6
15. What is degeneracy in transportation problem? How it is resolved?

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16. Find the sequence that minimizes the total elapsed time in performing following six jobs on three machines in the order M1, M2, M3. Also find the idle time for these machines.
    Machine M1
    Machine M2
    Machine M3

Answer any three of the following :

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17. Process control, product control
18. A situation where 100% inspection is needed
19. Two-phase method
20. p-chart and np-chart
21. Importance of SQC in industry

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