MEC 103 Solved Assignment 2022-23

QUANTITATIVE METHODS

Course Code: MEC 003/103

Assignment Code: MEC 103/2022-23

Total Marks: 100

SECTION A

Answer the following questions in about 700 words each. The word limits do not apply in case of numerical questions. Each question carries 20 marks.

1. (i) “Analysis of economic relationships often requires inclusion of a large number of interrelated variables into the model. Linear algebra provides tools of solving simultaneous equations with the aid of matrices and determinants means for their concise presentation and solution mechanism”. In the light of this statement, explain the concept of matrix and determinants.

12

(ii) Discuss the properties of determinants. Use examples to elaborate your response.

8

2. We can derive some fundamental distributions with the help of Normal distribution. Enlist these fundamental distributions and explain each one of them in detail.

20

SECTION B

Answer the following questions in about 400 words each. Each question carries 12 marks.

3. Under the simple regression analysis there are different methods of estimation. One of them is the Ordinary Least Square (OLS) method of estimation. Explain this method in detail.

12

4. A good estimator should satisfy certain criteria. Discuss these criteria with illustration.

12

5. (i) Enlist the properties of a binomial distribution. Find the probability of getting 8 heads and 5 tails in 13 tosses of an unbiased coin.

4

(ii) In a steel factory, on an average, there are 6 defects per 10 square feet of steel sheet produced. If we assume a poisson distribution, what is the probability that and 18 square feet of steel sheet will have at least 7 defects?

4

(iii) The height distribution of a group of 10,000 men is normal with mean height 63.5" and standard deviation 3.5. Find the number of men whose height is (a) less than 54.5" and (b) more than 74.5".

4

6. Explain the concept of indefinite integral with the help of examples. Discuss any two economic applications of indefinite integral.

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7. Write short notes on the following:

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(i) Types of Sampling

(ii) Critical values

(iii) Probability Density Function

(iv) Cramer’s rule

MEC 103 Solved Assignment 2022-23 : All assignments are in PDF format which would be send on email/WhatsApp (9958676204) just after payment.

POST GRADUATE DIPLOMA IN AUDIO PROGRAMME PRODUCTION Master's Degree Programmes (M.A. ECONOMICS) ASSIGNMENTS

Dear Learner,

You have to submit one assignment in each course, i.e. MEC 103. All these are Tutor Marked Assignments (TMAs). Before attempting the assignments, please read the instructions provided in the Programme Guide carefully.

Kindly note, you have to submit these assignments to the Coordinator of your Study Centre within the stipulated time for being eligible to appear in the term-end examination. You must mention your Enrolment Number, Name, Address, Assignment Code and Study Centre Code on the first page of the assignment. You must obtain a receipt from the Study Centre for the assignments submitted and retain it. Keep photocopies of the assignments with you.

After evaluation, the assignments have to be returned to you by the Study Centre. Please insist on this and keep a record with you. The marks obtained by you will be sent by the Study Centre to the Student Evaluation Division at IGNOU, New Delhi.

Guidelines for Doing Assignments

There are five questions in each assignment, all carry equal marks. Attempt all the questions in not more than 500 words (each). You will find it useful to keep the following points in mind:

Planning: Read the assignments carefully. Go through the units on which they are based, make some points regarding each question and then rearrange them in a logical order

Organization and Presentation: Be analytical in your selection of the information for your answer. Give adequate attention to the introduction and the conclusion. Make sure that your answer is logical and coherent; has a proper flow of information.

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