Nalanda Open University 2009 M.A Economics PART-I, -III (Quantitative Methods) Annual , 2010 - Question Paper
M.A. (Economics) PART-I, PAPER-III (Quantitative Methods) Annual Examination, 2010
M.A. (Economics)
PART-1, PAPCR-lll (Quantitative Methods)
Annual Extntihmtion, 20/0
Full Marks: 80
Time: 31 lours
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.4SKW<wy Frre Qt/fs/roHS. All questions cany equal marks.
(a) Define function, odd function and even function with example.
(b) Find the values of anv two of the following
, 5x* + 7x2 + 8.v + 2 (i) Li -;:-
.v(?T - e
(ii) U
X + 5
(\+xf-\
.t? - 2a:2 - 9x + 4
(iv) U
(iii) Lt
r->4
Find if, dx
x-*0
x2-2x-8 (a) v = 7x7 + 6.v + 5.v4 + 9 log.v
(b)
X
(c) v = (2 + l)
Find fxv and fvx, if f(x) * 3xa - 4xv + 2y2
Integrate the following
(a) fii&dx (b) \x.e*
(c) |(log.*)2 dx
Explain the following term
(a) Trial and Ev ents. (b) Equally Ukelv Events, (c) Favourable Events.
Solve the following linear programming problem with the help of simplex method. Minimize 7. - \- 3x2 + 2x5
Subject to constraints 3.v, - x2 + 3.r, < 7
-1ki + 4x2 < 12 xt, x2, ** > 0
Solve the game from the following pav-off matrix and find the value of the game. Plaxer - A
8 10 9 14 10 11 8 12 13 12 14 13
Player- H
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Define correlation and its tvpe and find the rank correlation coefficient from the following data | ||||||||||||||||
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9. Define Null Hypothesis and Alternative Hypothesis and write difference between tvpe-l error and tvpe-II error.
10. (a) A box containing 8 black and 5 white balls. If two balls are drawn at random
from the box what is probability that Iwth balls will Iv black.
(I)) Explain Poisson distribution and write its mean and variance.
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| Earning: Approval pending. |
