Roll No…….
Total No. of
Questions: 07
Paper
ID [MB104]
MBA
(Sem.-1st)
QUANTITATIVE
TECHNIQUES (MB-104)
Subject Code: MB-104
Time: 3 Hrs. Max.
Marks: 60
Instruction to Candidates:
1.
Section-A is
Compulsory.
2.
Attempt any Four
questions from Section-B.
SECTION-A
Q1.
(a)
Z-test.
(b)
Ideal Index
Number.
(c)
Properties of
regression coefficients.
(d)
Binomial
distribution.
(e)
One tail-two
tail tests.
(f)
Multiplication
Theorem of Probability.
(g)
Interval
estimation.
(h)
Matrix inverse.
(i)
Coefficients of
Variation.
(j)
Mathematical
Induction.
SECTION-B
Q2. Solve by Cramer’s rule
3x+3y-z=11
2x-y+2x=9
4x+3y+2x=25
Q3. Find
the 14 Arithmetic means between 5 to 8 and show that their sum is 14 times the
A.M. between 5 to 8.
Q4. In
1000 extensive sets of trials for an event of small probability, the frequency
of number of X success proved to be.
X
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
F
|
305
|
165
|
210
|
80
|
28
|
9
|
2
|
2
|
Q5. Calculate
(i) Laspeyre’s, (ii) Paasche’s, (iii) Bowley’s and (iv) Fisher’s Index numbers
for following data.
Index numbers for following data.
Items
|
2005
|
2006
|
||
|
Quantity
|
Value
|
Quantity
|
Value
|
A
|
10
|
120
|
12
|
156
|
B
|
50
|
700
|
40
|
600
|
C
|
15
|
240
|
25
|
475
|
D
|
12
|
216
|
15
|
240
|
Q6. The following table shows the result of
inoculation against cholera in a certain state.
|
Not
Attacked
|
Attacked
|
Total
|
Inoculated
|
267
|
37
|
304
|
Non Inoculated
|
757
|
155
|
912
|
Total
|
1024
|
192
|
1216
|
Test whether inoculation against cholera is
effective or not.
Q7. Discuss
various components of a time series. Illustrate your answer with suitable
examples.
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