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Are you looking to download a PDF soft copy of the Solved Assignment **MEC-03/MEC-103 - Quantitative Methods**? Then GullyBaba is the right place for you. We have the Assignment available in English and Hindi language.

This particular Assignment references the syllabus chosen for the subject of **Economics**, for the **July 2020 - January 2021** session. The code for the assignment is MEC-03/MEC-103 and it is often used by students who are enrolled in the MA Degree.

Once students have paid for the Assignment, they can Instantly Download to their PC, Laptop or Mobile Devices in soft copy as a PDF format. After studying the contents of this Assignment, students will have a better grasp of the subject and will be able to prepare for their upcoming tests.

**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

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 condition

**This section carry 20 marks each (to be answered in about 500 words each).**

- Consider the utility function 𝑢 = 𝑓(𝑥1 … 𝑥𝑛 ) where 𝑥𝑖, 𝑖 = 1,2, … , 𝑛 are the quantities of the n goods consumed. Let the price of good 𝑥𝑖 be 𝑃𝑖, 𝑖 = 1,2, … , 𝑛. Let M be the consumer's income. Show that the Lagrangian multiplier of theutility maximization problem equals the marginal utility of income.
- (a) What is the normal probability distribution function? State its properties.

(b) The concentration of impurities in a semiconductor used in the production of microprocessors for computer is a normally distributed random variable with mean 127 parts per million and standard deviation 22. A semiconductor is acceptable only if its concentration of impurities is below 150 parts per million. What proportions of the semiconductors are acceptable for use? (The area under the standard normal curve for the value of z = 1.5 is 0.668).

**This section carry 12 marks each (to be answered in about 300 words each).**

- Distinguish between the characteristics of first and second order difference equations. Give examples of economic problems that are solved with the help of each category of such equations.
- Solve the following linear programming problem:

Min 𝐶 = 0.6𝑥1 + 𝑥2

subject to 10𝑥1 + 4𝑥2 ≥ 20

5𝑥1 + 5𝑥2 ≥ 20

2𝑥1 + 6𝑥2 ≥ 12

𝑥1 𝑎𝑛𝑑 𝑥2 ≥ 0 - Suppose a large jar contains eight red balls, six yellow balls, and six blue balls. Two balls are to be selected at random from the jar, and the first ball selected will not be placed back into the jar.

(a) What is the probability that the first ball will be red and the second yellow?

(b) What is the probability that neither will be red? - Suppose the technology matrix is

Let the final demand vector be

Find the level of production of the three goods. - (a) What is a test statistic?

(b) Distinguish between one-tailed and two-tailed tests.

(c) What is p- value?

- University IGNOU (Indira Gandhi National Open University)
- Title Quantitative Methods
- Language(s) English and Hindi
- Session July 2020 - January 2021
- Code MEC-03/MEC-103
- Subject Economics
- Degree(s) MA
- Course Core Courses (CC)
- Author Gullybaba.com Panel
- Publisher Gullybaba Publishing House Pvt. Ltd.

The IGNOU open learning format requires students to submit study Assignments. Here is the final end date of the submission of this particular assignment according to the university calendar.

**15th July 2021**(if Enrolled in the**July 2020**Session)**30th Sept. 2021**(if Enrolled in the**January 2021**Session).

Here are the PDF files that you can Download for this Assignment. You can pick the language of your choice and see other relevant information such as the Session, File Size and Format.

- July 2021 - January 2022 14 Pages (0.00 ), PDF Format SKU: IGNGB-AS-MA-MEC03/MEC103-EN-

- July 2020 - January 2021 14 Pages (0.00 ), PDF Format SKU: IGNGB-AS-MA-MEC03/MEC103-EN-

- July 2020 - January 2021 12 Pages (0.00 ), PDF Format SKU: IGNGB-AS-MA-MEC03/MEC103-HI-

- July 2019 - January 2020 17 Pages (0.00 ), PDF Format SKU: IGNGB-AS-MA-MEC03/MEC103-HI-

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In addition to this Assignment, there are also other Assignments related to the **MA Economics** you are preparing for. Here we have listed other Assignments that were bought along with this one.

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- MECE-04 वित्तीय संस्थाएँ और बाजार - Financial Institutions and Markets
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