Roll No…….
EXAMINATION
MAY-2014
MBA/MBA
(IB) (Sem.-1st)
SUBJECE
CODE: MB-104
QUANTITATIVE
TECHNIQUES
PAPER
ID: [C0167]
Time: 3 Hrs. Max.
Marks: 60
Instruction to
Candidates:
1. Section-A
is Compulsory.
2. Attempt
any Four question from Section-B.
SECTION-A
(10 X 2=20)
1. Attempt
all questions from Section-A.
1. Explain
Principles of Mathematical Induction.
2. Differentiate
between Linear and Quadratic equations.
3. What
do you mean by standard Error?
4. What
is Skewness?
5. List
different Time series methods and their uses.
6. Explain
Range with example?
7. How
to calculate sample size, explain with formula?
8. Explain
point estimation?
9. Explain
binomial theorem.
10.
In a box, there are 8 red, 7 blue
and 6 green balls. One ball is picked up randomly. What is the probability that it is neither
red nor gree?
SECTION-B
Attempt
Four questions from each Section-B.
2. What
are matrices? How are determinants different from matrices? Discuss few
applications of matrices in business.
3. Eight
coins were tossed together and the number of heads (x) resulting was noted. The
operation was repeated 256 times and the frequencies (f) that were obtained for
different values of x, the number of heads, are shows in the following table.
Calculate median. Quartiles and 4th decile.
X
|
0
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
F
|
1
|
9
|
26
|
59
|
72
|
52
|
29
|
7
|
1
|
4. The
mean yield for a one-acre plots is 662 kg with a standard devistion of 32 kg.
Assuming normal distribution, how many one-acre plots in a batch of 10,000
plots would expect yield.
(a) Over
700 kgs?
(b) Below
750 kgs?
5. The
following figures show the distribution of digits in numbers chosen at random
from a telephone directory.
Digits
|
Frequency
|
0
|
1026
|
1
|
1107
|
2
|
997
|
3
|
966
|
4
|
1075
|
5
|
933
|
6
|
1107
|
7
|
972
|
8
|
964
|
9
|
853
|
Test whether
the digits may be taken to occur equally frequently in the directory.
6. The
ranks of same 16 students in Mathematics
and Physics are as follows. The numbers within brackets denote the ranks of
students in Mathematics and Physics.
(1,1,),
(2,10), (3,3), (5,5), (6,7), (7,2), (8,6), (9,8), (10,11), (11,15), (12,9),
(13,14), (14,12), (15,16) (16,13)
Calculate the
rank correlation coefficient for proficiencies of this group in Mathematics and
Physics.
7. Random
samples drawn from two countries gave the following data relating to the
heights of adult males:
|
Country
A
|
Country
B
|
Mean height
in inches
|
67.42
|
67.25
|
Standard
deviation
|
2.58
|
2.50
|
Number in
Samples
|
1000
|
1200
|
Is the
difference between means level of significance.
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