# MEC 103 Solved Assignment 2022-23

**MEC 103 Solved Assignment 2022-23**

**QUANTITATIVE METHODS**

**Course Code: MEC 003/103**

**Assignment Code: MEC 103/2022-23**

**Total Marks: 100**

**Note:
Answer all the questions.**

**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.**

**12**

**7. Write
short notes on the following:**

**12**

**(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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