STATISTICS
PAPER·ll
SECTION A
(Industrial Statistics and Optimisation Tl>chnlques)
1ltempl any four
Explain where and how we use X and R charts for quality control
Ois'""SS the concept of acteptruwe sampling giving sui Ulble e.xamples
0 1
I

101
Discuss ilie .assumptions underlying linear Can be met in real li fe.
situations?
tO)
Explain the concept nf replacemeo1 for failing items Also state various replace men' models.
Explain Hte Markov chain as a method f6rec;fsting
Explain aC<Jcptancesampling for glving assurance about standard deviation of a process
Wltat are cand p cltans Explain the1r relative merits giving e.xamples
What are the problems of life tesring? Discuss one ml)del for lhis problem
Solve followiJJg linear programmiug problem by taking its dual
1fin Z 2x1 T 2xt
Subje<:t to
1
1
l
..t1 X2

10)



14)
A salesman travels ween five ci ties. 11te followmg are. ligures of cost of travel fonn city 1
t6 city
C11
20, C111 4.
cu • s. c ..• 0 6t
c .. c., 20,
further, Cu CJ• and tJte. salesman does not travel between cities where is not given
Solve lbe P.roblem of the salesman lO minimize Iota!. cosL
14)
Explain the concept of game theory. Also discuss a two-person zero-sum game witlt two
allernaffve strategies.
12)
(al
5 ot
J machine costs Rs. 6,000. The run11Tng cost .and resale values of the machine in various
are given Mlow.
Year J 2 3 4
Runing' cost
(in Rs.) 1,000 1.200 1,800
Rcs3le vnluo
(in Rs.) 3,000 1,500 750 375
5 6 7
2,300 2,800 3,400
200 200 200
At wlmt age the machine should be replaced?
14)
At a pubUc telephone booth lhc customer arrival lbllows u Poisson process with average
fnter-anival time 12 'll1e leng1h of the phone call is C'-"Ponentially distributed wi th
an average of 4 minutes. Find the proba bi lity that-
n ani,·al will not have to wait;
a fresh arrival will have to wait for more than I 0 minutes
12)
What Inventory Control'' Discuss various terms used in inventory models.
SECTION&
(Quantitntive Economics aod Official Statistics)
5 Attempt any four·
7
ExplaiP method of forecasting
10)
Brit'fly explain rJ>e Hmitati011< of present system oollecting Ofticial Statistics in I n<Jia,

Discuss the asswnptlous underlyttlg ordinary least squares method uf ostim11Liou and lheir
i111plicaaioos.
10)
E.xplain various gmwlh ruudels used for the srudy ofpopul3tion growth.
10)
Discuss the teeboiqueof path analysis

lb)



Discuss various method$/fonnuJae ror the construction of Index Numbers along with 1heir
relative advantages.

Dfscuss the shapes. propenics and mcthods of litrlog a trend to a time series data in the Jorm
ofY1 K.At•_
What is the problem of heteroscedasticity? Explain itS consect11ences and remedial measures

State >tnd prove lheorem for lin= csti mation
16)
Discuss Ute problem and conditions of ldl!lttifioation in a tancous equations system,

Explain two-stage least squares methpd of estimation
6 ur6

8. E.X]Jiain the of censm 3nd eritiCIIUy <Mtlua te llul of Popul31ion Statistics
thus generated.

no11 •re lite conlru<.1od What p:trnmcten< can studio<l lhtough lhet11 •nd 13ble.
•w usel•1 in the study of demography?
14)
Discuss tho method and uses of Pocior Discuss tb• mc tl•nd and usos of F.1ctor