IGNOU MEC 103 SOLVED ASSIGNMENT 2021-22
MEC-103: QUANTITATIVE METHODS SOLVED ASSIGNMENT 2021-22
Course Code:
MEC-103 Asst.
Code: MEC-103 /
TMA/2021-22
Total Marks: 100
Section A
1.How do you use differential equations in economics? What
type of situations can be helpfully depicted using differential equations?
Discuss the role of initial condition in solving a differential equation. If
your objective is to examine the stability of equilibrium, with the help of an
example, show how a second-order differential equation helps in addressing your
concern.
2. Give examples of the problems where you can make use of
Poisson distribution. Does it have a probability density function? Why or why
not? Discuss your answer in the context of the rnean and the variance of
Poisson distribution.
Section B
3. Explain the relevant considerations of making a choice
between one-tailed and two-tailed tests. How would you determine the level of
significance in the above tests?
4. A linear programming problem is given as
Min z = 30 x1+ 50x2 ,
Subject to
9 1 2 1 2 1 2 ³ ³ + ³ + ³ x x x x x0
Find its optimal
solution.
5) How would you
determine linear dependence of a matrix? Define the rank of a matrix in terms
of its linear independence.
6) The correlation coefficient between nasal length and
stature for a group of 20 Indian adult males was found to be 0.203. Test
whether there is any correlation between the characteristics in the population.
7) Write short notes on the following:
(i) Eigen-vectors and
Eigen-values
(ii) Taylor’s expansion
(iii) Mixed strategy
(iv) Kuhn-Tucker conditon
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