24._Dec_2021 MMPC-5.pdf
25._June_2022 MMPC-005.pdf
26._Dec_2022 MMPC-005.pdf
No. of Printed Pages : 4
MMPC-005
MANAGEMENT PROGRAMME (MP)
Term-End Examination
December, 2021
MMPC-005 : QUANTITATIVE ANALYSIS
FOR MANAGERIAL APPLICATIONS
Time : 3 hours
Maximum Marks : 100
Note :
(i)
Section A has six questions, each carrying 15 marks.
Attempt any four questions.
(ii)
Section B is compulsory and carries 40 marks.
Attempt both questions.
(iii) Use of calculator is permissible.
SECTION A
1.
What do you understand by probability sampling
methods
?
Explain
the
various
types
of
probability sampling.
MMPC-005
1
P.T.O.
2.
Find the coefficient of correlation from the
following data :
3.
Fertilizer used
(in metric
tonnes)
15
Productivity
(in metric
tonnes)
85
18
93
20
95
24
105
30
120
35
130
40
150
50
160
Assume the mean height of soldiers to be
68·22 inches with a variance of 10·8 inches. How
many soldiers in a regiment of 1000 would you
expect to be over 6 feet tall ?
(Given : From Z table area between 0 and
1·15 = 0·3749)
4.
‘‘The primary purpose of forecasting is to provide
valuable information for planning the design and
operation of the enterprise. Planning decisions
may be long-term, medium-term and short-term.’’
In view of the statement, explain the application
of forecasting for long-term decisions.
MMPC-005
2
5.
What do you understand by the term ‘‘Probability
theory’’
?
Explain
different
approaches
to
Probability theory.
6.
Write short notes on any three of the following :
(a)
Mathematical Properties of Median
(b)
Normal Distribution
(c)
One-Tailed Test
(d)
Hypothesis Testing Procedure
(e)
Regression Analysis
MMPC-005
3
P.T.O.
SECTION B
7.
What
do
you
understand
by
the
term
‘‘classification of data’’ ? What is the main reason
of classifying data ? Also, explain some common
types of classification.
8.
A coin is tossed 6 times. What is the probability
of obtaining 4 or more heads ? What is the
probability of getting at least 2 heads ?
MMPC-005
4
MMPC-005
No. of Printed Pages : 4
MANAGEMENT PROGRAMME (MP)
Term-End Examination
June, 2022
MMPC-005 : QUANTITATIVE ANALYSIS FOR
MANAGERIAL APPLICATIONS
Time : 3 Hours
Note : (i) Section
Maximum Marks : 100
A
has
six
questions,
each
carrying 15 marks. Attempt any four
questions.
(ii) Section B is compulsory and carries
40 marks. Attempt both questions.
(iii) Use of calculator is permissible.
Section—A
1. “The standard deviation is the most widely
used and important measure of variation.”
Comment on the statement. Also, discuss the
properties of a good measure of variation.
P. T. O.
[2]
MMPC-005
2. From the following data, compute arithmetic
mean by short-cut method :
Marks
No. of Students
0—10
5
10—20
10
20—30
25
30—40
30
40—50
20
50—60
10
3. Find the coefficient of correlation between X
and Y from the following data :
X
Y
1
12
2
11
3
13
4
15
5
14
6
17
7
16
8
19
9
18
[3]
MMPC-005
4. “Time series analysis is one of the most
powerful methods in use, especially for shortterm forecasting purposes.” Comment on the
statement. Also, explain the decomposition
method.
5. What are the various key issues in decision
theory ? Explain the decision tree approach.
6. Write short notes on any three of the following :
(a) Coefficient of variation
(b) Bayes’ theorem
(c) Probability sampling method
(d) Correlation coefficient
(e) Chi-square distribution
Section—B
7. A
company
that
manufactures
batteries
guarantees them a life of 24 months.
(i)
If the average life has been found in tests
to be 33 months and a S. D. of 4 months,
how many will have to be replaced under
guarantee if a normal distribution is
assumed for battery lifetimes ?
P. T. O.
[4]
MMPC-005
(ii) If annual sales are 10,000 batteries at a
profit of ` 50 each and each replacement
costs the company ` 100, find the net
profit.
8. What
do
you
understand
by
the
term
“Hypothesis” ? Explain null and alternate
hypothesis along with the help of examples.
MMPC–005
MMPC-005
No. of Printed Pages : 4
MANAGEMENT PROGRAMME (MP)
Term-End Examination
December, 2022
MMPC–005 : QUANTITATIVE ANALYSIS FOR
MANAGERIAL APPLICATIONS
Time : 3 Hours
Maximum Marks : 100
Note : Section A has six questions, each carrying
15 marks. Attempt any four questions.
Section B is compulsory and carries 40
marks. Attempt both questions. Use of
calculator is permissible.
Section—A
1. “The arithmetic mean is the most commonly
used and readily understood measure of central
tendency.” Do you agree ? Comment. Also,
P. T. O.
[2]
explain
the
MMPC-005
mathematical
properties
of
arithmetic mean.
2. The distribution of the total time a light bulb
will burn from the moment it is first put into
service is known to be exponential with mean
time between failure of the bulbs equal to
1000 hrs. What is the probability that a bulb
will burn more than 1000 hours ? (Given
e = 2.718)
3. Calculate
the
standard
deviation
of
following distribution :
Age
No. of Persons
20—25
170
25—30
110
30—35
80
35—40
45
40—45
40
45—50
35
the
[3]
4. What
do
you
understand
MMPC-005
by
‘Correlation
Coefficient’ ? Discuss the different types of
association between variables.
5. Explain the ‘Chi-square distribution’. Explain
how would you use it in testing independence of
categorised data and testing the goodness of fit.
6. Write short notes on any three of the following :
(a) Guidelines for choosing the class
(b) Poisson distribution
(c) Two-tailed test
(d) Type I and Type II error
(e) Rank correlation
Section—B
7. Calculate the coefficient of correlation from the
following data :
X
Y
9
15
8
16
7
14
P. T. O.
[4]
MMPC-005
6
13
5
11
4
12
3
10
2
8
1
9
8. Explain the concept of Bernoulli process along
with Binomial Distribution in detail.
MMPC–005