ATAL VIHARI BAJPAYEE UNIVERSITY SESSION 2019-21 MA(ECONOMICS) PREVIOUS PAPER-2 QUANTITATIVE METHODS

1. AH.L474 CV19
M.A. (PREV|OUS)
Term End Examination, 2019-20
ECONOMICS
Paper-ll
QUANTITATTVE METHODS
Time : Three Hours] [Maximum Marks: 100
[Minimum Marks:36
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Note : Attempt any five Question. All Question carry equal marks.
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1. Mq *D-rrc qt qqErRurr oi qqerq I Mq q6Fr d qre dpn frqrcit 6}
fr-ilq-rT o1fuq I
Explain the concept of Linear Programming. Discuss the importance and imitations of
Linear Programming.
2. dd fuqra rqr B ? 'v5< qrRT df,' paq qrqffiir w enqrRo B ? dd fu€td qfi
ffi finsgt
what is Game Theory? on which assumptions 'Zero sum games' depend upon?
Mention the limitations of game theory.
3. Fq q-Toi t elud 6r fuqfrT .JurT-4' flf, otfuq -calculate Bowley's coefficient of skewness from the following data:
Trf oTrEfu
55-65 5
65-75 3
4. Hfuqffiftfuq,_
(a) $F{IRr;EI o't sIQf ti rfly O) riqrq f{sq
Write short notes:-
(a) Meaning and types of Correlation (b) probable Error
5. ffirfuo Hq6t t x osn v d ffiq'rfi rsfowr s;6 olfuv t qR x:za t, d
Y 6-r rilq *q y:88 t, d x or qFr Elrr o1fuq-
Obtain the regression equations of X and Y from the following data. Find the value of
Y when X:78 and value of X when y:88 :
Class
t5-25
25-35
35-45
45-55
Frequency
I
J
7
11
Y
68
60
62
80
85
40
52
62
60
8l
x
60
62
65
70
72
48
53
73
65
82

2. 6. ffifuf, fr erara Ts Erd dfu-
Find the missing values in the following table:
x 2.0 2.1 2.2 2.3 2.4 2.5 2.6
Y 135 ? lll 100 ? 82 74
7. ft{vro of sqffirm {fl-sq | 'f, E}E fr{qn-6 grtr fu-{ fuq qfieT"ii of $ of encr
otqt-fr8?
State the utility of Index Number. What tests by a good Index Number expected to
satisfr?
8. ffi-fl oi+q fr qdi qrfr unrcif iledr s{fr ffifd urxerl or f+ator Gng d equn fi
ttrr 'rqT
t t qa q-TrD{ fu qs-61 ra if q{ d crq d-ft t, erwodr ffirT ff{rFd
urxerf d fr-q x"r riqq vro fofuq-
Following is the distribution of female students and married female students studying in a
college, according to age. If maturity is attainted after l8 years, calculate the coefficient of
association between maturity and married female students.
srTg ErdBri of ricqr fd-{rtrd Er-dr3ii of €wr
Age No. of female students No. of married female students
t6 300 240
t7 240 168
18 200 120
19 120 60
20 100 36
2160]H
9.(a) go eld t 5 HfE, + orfr, s ffi dr a ars.it dr t'fi tE qr{fu-o. Ec t ffiq{ Esd orfr qr drd +i o1 srfuodr qqr B ?
A bag contains 5 white, 4 black, 3 yellow and 4 red balls. What is the probability of
getting a black or red ball at random in a single draw of one ball?
(b) so qi+f of d eR d;or qror t-
A dice is thrown twice:
(i) T6-ft qn 6 crsn qwfr en frsq fuT 3ni of Hfufidr rqr t ?
(ii) ffi eR + oni o1 srfuoilr rqr t ?
(i) What is the probability that it falls with number 6 upwards in the first throw and
with an odd number upwards in second throw?
(ii) What is the probability of getting 4 both times?
10.frt€dw€BKffitutuq-
Write short notes on: (any two)
(i) t-s qr<tf tfr (ii) silRn qrnf fifr
(iii) qrqrq ldyq (iv) wra gs rsg-fi sE-fl
(i) Random Sampling (ii) Stratified Sampting
(iii) Probable Error (iv) Simple and Compound even