MEC 103 Solved Assignment 2021-22

MEC 103

QUANTITATIVE METHODS (Assignment)

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 ,

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 condition

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