**MEC 103 Solved Assignment 2022-23**

**QUANTITATIVE METHODS**

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

**Course Code: MEC 103/103**

**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. (6 + 6 = 12)**

**7. Write
short notes on the following: (3 X 4 = 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.*

MEC 103 Solved Assignment 2022-23, MEC 103 Solved
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Solved Assignment 2022-23 :-** Those students who had successfully submitted
their Assignments to their allocated study centers can now check their
Assignment Status. Alongside --assignment status, they will also checkout their
assignment marks & result. All this is often available in a web mode. After
submitting the assignment, you'll check you MEC 103 Solved Assignment 2022-23
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