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

Download OU (Osmania University) B.Sc (Bachelor of Science) 2016 April 3rd Year 5028E Statistics Previous Question Paper

9
' Code No. 5028 I E
FACULTIES OF ARTS AND SCIENCE
B.A. I B.Sc. HI - Year Examination, March [April 2015
Subject: STATISTICS (Theory)
Paper - lV
Quality Control, Reliability and Operations Research (Elective-I)
Time : 3 hours Max. Marks : 100
Note : Answer all questions. Answer questions I to IV by choosing any two
from each and any three from question V. All questions carry equal
marks. Scienti?c calculators are allowed.
I ,1 Explain the following terms. 1,,
i) Controlcharts for variables ii) Controlchagsf get butes
:1
,2 Explain the difference between specification limits,:%iganc? limits and control
limits in SQC.
:i??
3 Each of 10 lots of rubber belts contain?i?a 006 rubber belts. Number of
defective rubber hens in those lots 4 , 421, 326, 335, 298, 315,
292, 301, 325 and 299. Draw 00%!?7?i 3 an r fraction defective and give
your conclusions. (,- g:
?g?w?i?gf
H [5 EXplam the procedure ???b?? Sampiing plan. Obtain ASN and 0c
functions for the sang%1R kg
1:?
,6 What is single s?%gling%lan? Discuss the relative merits and demerits of
4.
single and double s?hpling plans.
7 De?ne r ,gbi?y. Explain the importance of hazard function in the
com?utati 3,9 of failure density.
[Bic
EQefine?gsystem reliability. Explain how to compute the system reliability for K
oegefn system.
?I , 9 Define terms i) Linear programming problem ii) Feasible selution
iii) Basic feasible solution iv) Optimum basic feasible solution
,10 Solve the following LPP graphically
Minimize Z = -6X1 ? 4X2
Subject to 2x1 + 3X2 2 30
3X1 + 2X2 S 24
x1 + X2 2 3
and XT , x22 0

IV
Code No. 5028 I E
_ 2 _
11 What are surplus and slack variables? Explain Big-M method to solve an LPF'.
12 Apply principle of duality to soive the LPP and also read the primaI solution
Minimize Z = 12x1 + 20x2
Subject to 6X1 + 8X2 2 100
7X1+12X2 2120
and X1, X2 2 0
(?A
. . f
13 Solve the foltow'mg transportation problem for optimality. meg.? for E Q
obtaining initialbasic feasible solution. ,3 3 ? ?
7 Market
3 .
'1 \3
i? V _
(3..
3,3
3
Ware house A
B
12 17 9?
14 Solve the following assignment problem b?gyn?arian method for optimality
Tasks
3,5133,? ?35-" . . .
15 What is degenergcy?i?ggnsportatlon problem? How it us resolved?
16? Find the sequenceg?f?at minimizes the total elapsed time in performing following
six jobs?on thgge machines in the order M1, M2, M3. Also ?nd the idle time: for
these n?fa hines.
Jgp 1 2 3 4 5 6
Mac \e 1 8 3 7 2 5 1
M?ch?e M2 3 4 5 2 1 6
M'???ine M3 8 7 6 9 10 9 -
Answer any three of the following :
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 800 in industry
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