Total No. of Questions 08] [Total No. of Pages 02
EXECUTIVE M.B.A. DEGREE EXAMINATION, MAY 2018
First and Second Years
QUANTITATIVE TECHNIQUES FOR MANAGERIAL DECISIONS
Time 3 Hours Maximum Marks :70
SECTION A
Answer any three questions. x 5 15)
Q1) What are the applications of differentiation?
What is determinant? Explain its properties.
Explain the properties of standard deviation.
Explain mutually exclusive and not mutually exclusive events.
Sampling distribution.
Explain moving average method.
SECTION B
Answer any three questions. x 15 45)
Q2) Explain the importance of quantitative techniques in decision making.
"Quantitative analysis widens the field of knowledge". Elucidate the
statement.
Q3) Find the differential co-efficient of sinx with respect to x given that: d
dx
(Cosec cot x Sec x.
If
4 3 4

3 7 4
x for x
f x
x for x


find whether the function is continuous at x 4.
Q4) Distinguish between primary data and secondary data and discuss various
methods of collecting primary data.
Q5) Five fair coins were tossed for 100 times. From the following outcome calculate
the expected frequencies.
No. of heads up 0 1 2 3 4 5
f 2 10 24 38 18 8
Q6) 200 digits were choosen at random from a set of table. The frequencies of the
digits are:
Digit 0 1 2 3 4 5 6 7 8 9
f 18 19 23 21 16 25 22 20 21 15
Use chi-square test to assess the correctness of hypothesis that the digits were
distributed in equal number in the table choosen from which these were choosen.
Q7) Calculate the co-efficient of co-rrelation from the data below:
Supply 65 40 35 75 63 80 35 20 80 60 50
Demand 60 55 50 56 30 70 40 35 80 75 80
SECTION C
(Compulsory)
Q8) Case Study:
A farmer wants to decide which of the three crops he should plant on his 100
acre farm. The profit from each is dependent on the rainfall during the growing
season. The farmer has categorized the amount of rainfall as high, medium and
low. His estimated profit for each is shown below.
Rain fall Estimated Conditional profit
Crop-A Crop-B Crop-C
HIGH 8000 3500 5000
MEDIUM 4500 4500 5000
LOW 2000 5000 4000
If the farmer wishes to plant only one crop, decide which should be his 'Best
crop' using.
Maximax criterion
Maxmin criterion
Laplace criterion