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January 14th, 2016, 09:58 AM
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Join Date: Mar 2012
Re: Gauhati University 2nd year B.Com Quantitative Methods in Business sample Paper

As you have asked about the sample paper of 2nd year B.Com quantitative
methods of Gauhati University, I giving you some sample questions, check
them below

1. ans the subsequent questions:

(a) Fill in the blank:

Sampling errors are not current in ___________________.

(b) select the accurate answer:

If the correlation ranging from 2 variables X and Y is negative, then the
regression

coefficient of X on Y is

i) Positive

ii) Negative

iii) either positive or negative

iv) zero

(c) What is the range of Karl Pearson's correlation coefficient? 1

(d) choose the accurate option out of the provided ones: 2

Index number is a

i) measure of relative modifications

ii) special kind of avg.

iii) percentage relative

iv) All the above

(e) Mention 2 control charts for variables. 1

{f} elaborate the parameters of binomial distribution? 1

(g) describe feasible region associated with the solution of LP issues by
graphical

method. 1

(h) State whether the subsequent statement is actual or False: 1

"Linear programming deals with issues involving only a single objective.”

2. ans any 5 of the subsequent questions: 5×5=25

a) Enumerate the different steps in sample survey.

b) State the multiplicative legal regulations of probability and illustrate it
with an example.

c) If 5% of electric bulbs manufactured by a company are defective, use
Poisson

distribution to obtain the probability that in a sample of 100 bulbs (i) none is

defective, (ii) five bulbs are defective. (Given e-5 = 0 . 007)

d) elaborate the characteristics of normal distribution?

e) explain in brief the issues of inventory management.

f) Write a note on Pareto's legal regulations of income distribution.

g) 2 persons X and Y were asked to rank seven various kinds of perfumes.
The

ranks provided by them are as follows:

Perfumes: A B C D E F G

X: two one four three five seven 6

Y: one three 3 four five six 7

find rank correlation coefficient.

3. (a) A issue in Statistics is provided to 5 students A, B, C, D and E. Their

probabilities of solving it are ½, , ¼, ¼ and 1/5 respectively. What is the
probability

that at lowest 1 learner will be able to solve the problem? 7

(b) The distribution of monthly incomes of 500 workers is presumed to be
normal with

mean of Rs 2,000 and standard deviation of Rs 200. Estimate the number of
workers with

incomesi)

exceeding Rs 2,300 p.m.;

ii) ranging from Rs 1,800 and Rs 2,300 p.m.

What is the least income of the 25% workers in the highest income group?

[Given: Z = 0.67 1.00 1.50

Area = 0.25 0.3413 0.4322] 3+3+2=8

4. (a) find Karl Pearson's correlation coefficient for the subsequent bivariate

distribution: 7

x : one two three four five six seven eight 9

y : nine eight 10 12 11 13 14 16 15

(b) discuss the concept of regression. elaborate regression equations and
regression

lines? Why there are usually 2 regression lines? When do they coincide?

3+2+2+ one =8

5. (a) elaborate type- I fault and type-II fault associated with tests of
significance?

discuss the concept of level of significance. 5+2=7

(b) 2 sample poles of votes for 2 candidates A and B for a public office are
taken,

one from among the residents of urban areas and the other from the
residents of rural

areas. The outcomes are provided beneath. Use chi-square test to examine
whether the nature of

the area is related to voting preference in this election:

Votes For A B Total

Rural 620 380 1000

Urban 550 450 1000

Total 1170 830 2000

Given: X 2

0.05 (1) = 3.84 8

6. (a) A company requires 10000 units of raw materials per annum. The cost
per order is

estimated to be Rs 50. The storage cost is estimated to be Rs.5,00 per unit
of avg.

inventory. What volume should be ordered so that the total cost is minimum?
obtain also

the total minimum cost excluding the purchase cost. 5+3=8

(b) What is a control chart? discuss the background of 3cr control limits for a
control

chart. 4+3=7

7. (a) explain the advantages and disadvantages of OR models. 7

(b) Solve the subsequent LPP by graphical method: 8

Maximize Z = 40x + 80y

subject to


2x+3y48

x 15

y 10

x, y 0

8. (a) Solve by simplex method : 10

Maximize Z = 3x1+ 2x2 + 5X3

subject to

x1+2x2 +x3 430

3x1 + 2x3 460

x1+4x2 420

x1,x2,x3 0

(b) Write a note on the role and limitations of simulation. 5


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