Total No. of Questions 08] [Total No. of Pages 02
M.B.A. DEGREE EXAMINATION, MAY 2018
First Year
QUANTITATIVE TECHNIQUES FOR MANAGERIAL DECISIONS
Time 3 Hours Maximum Marks :70
SECTION A
Answer any three of the following questions. x 5 15)
Q1) Explain the properties of matrix multiplication.
What is skewness? Explain in detail.
Explain marginal and joint probabilities with examples.
What is sampling distribution? Give an example.
What is the significance of chi-square test in business decision making?
What is correlation analysis? Explain its types.
SECTION B
Answer any three of the following questions. x 15 45)
Q2) If c are the sums of r terms respectively of an A.P., then show
that

0
a q r b r p c p q
p q r

.
Show that
0
lim

x)n 1
n
x

.
Q3) Define Date? Explain primary data collection methods in brief.
Q4) What are the applications of Binomial distribution.
If a random variable X follows Poisson distribution such that
P(X P(X 2).
Find
the mean
ii) P(X
Q5) Fit a Poisson distribution for the following data.
x 0 1 2 3 4 5
f 142 165 69 27 5 1
Q6) What is Hypothesis? Explain the procedure of testing of Hypothesis.
Q7) Calculate correlation co-efficient for the following data.
x 9 8 7 6 5 4 3 2 1
y 15 16 14 13 11 12 10 8 9
SECTION C
(Compulsory)
Q8) Calculate the seasonal indices by the method of link relatives for the following
data.
Year
Quarter 1985 1986 1987 1988
Q1 75 86 90 100
Q2 60 65 72 78
Q3 54 63 66 72
Q4 59 80 85 93
Comment on the results.