Candidates who are preparing for the Civil Services Main Exam in the forthcoming year, can find out what kind of questions were asked in this exam in the year 2013. Some questions from Statistics Paper I of UPSC Civil Services Main Exam 2013 are as follows: Also Read - West Bengal MBBS Seats Increased to 4,000: CM Mamata Banerjee

Q.1. Answer the following :- Also Read - Will Convert All State-Run Madrasas Into a General School: Assam Minister Himanta Biswa Sarma

(a) What is meant by Statistical Quality Control (SQC)? What is its main purpose? Give its uses. Also mention different tools for SQC.
(b) What are the different methods for determining Reliability? Explain any two of them and also give their merits and demerits.
(c) Explain different steps in the preparation of Control Charts.
(d) Give any three definitions of Operations Research. What are the advantages and disadvantages of operations research models?
(e) What is Linear Programming? Give its advantages and limitations. Also Read - Anything For Education: Goa Students Trek 3km Everyday to Reach Hilltop to Access Internet For Online Classes

Q.2. Answer the following :-

(a) Explain Double sampling Plan and develop expression required for drawing OC curve in Double sampling Plan.
(b) Explain the procedure for drawing the 5-points A S N curve for the sequential sampling plan.
(c) In welding of seams, number of defects that were identified in one seam each hour are given below :
2-1-2013

6:00 AM7:00 AM8:00 AM9:00 AM10:00 AM11:00 AM12 noon1:00 PM2:00 PM3:00 PM4:00 PM5:00 PM6:00 PM
24731489537116

3-1-2013

6:00 AM7:00 AM8:00 AM9:00 AM10:00 AM11:00 AM12 noon1:00 PM3:00 PM4:00 PM5:00 PM
499643974712

Q.3.(a) Four counters are being opened on the frontier of a country to check the passports and necessary papers of the tourists. The tourists choose the counter at random. If the arrivals at the frontier are Poisson at the rate λ and the service time is exponential with parameters λ/2, what is the steady state average queue at each counter?

Q.3.(b) Solve the following game problem graphically :

Player B →IIIIIIIV
Player A ↓
I85-79
II-664-2

Q.3.(c) A cement factory manager is considering the least way to transport cement from his three factories A, B and C to depots P, Q, R and S. The weekly production and demands along with transportation costs are given below. What should be the distribution programme?

FactoryDepot PDepot QDepot RDepot SProduction
A108712500
B1215610500
C8101214900
demand700550450300

Click here to read question paper on official website of UPSC.

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