Programme Code : MEC
Course Code : MEC-003
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Year : 2012 Views: 1011 Submitted By : Ijtaba Hussain On 23rd December, 2012

Do you have solution for this Question. If yes    I aslo want solution.

Q.


Answer all the questions. While questions in Section A carry 20 marks each (to be answered in about

500 words each) those in Section B carry 12 marks each (to be answered in about 300 words each). In the

case of numerical questions word limits do not apply.

Section A

1) What is a differential equation? How do you apply differential equations in Economics? Discuss the

role of initial condition in solving a differential equation. If your objective is to examine the stability of

equilibrium, show with the help of an example, how a second-order differential equation can address

your concern.

2) What is the Poisson distribution? Does it have a probability density function? Why or why not? Discuss

your answer in the context of the mean and variance of Poisson distribution. Give examples of the

problems where you can make use 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

Max z = 30 x1 + 50x2 ,

Subject to

0, 0

2 12

9

1 2

1 2

1 2

テッつウ テッつウ

テッツォ テッつウ

テッツォ テッつウ

x x

x x

x x

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:

a) Eigenvectors and eigen values

b) Taylor’s expansion

c) Mixed strategy equilibrium

d) Kuhn-Tucker condition


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