M.B.A. DEGREE EXAMINATION, MAY 2017
(First Year)
QUANTITATIVE TECHNIQUES FOR MANAGERIAL DECISIONS
Time 3 Hours Maximum Marks 70
SECTION A x 5 15)
Answer any THREE of the following
Q1) f x2 −1;− x∈Z
.
Find the range of the function. Is the function oneto-
one.
Differentiate 2 log 3 x x x x x e − .
Distinguish between primary data and secondary data. Explain the methods of
collecting primary data.
Define binomial distribution. What are its characteristics?
Explain non-probabilistic sampling methods.
Why should there be two regression lines? State the properties of the regression
coefficients.
SECTION B x 15 45)
Answer any THREE of the following
Q2) Solve the following system of equations:
2 3 6 6
2 2 5
3 4
x y z
x y z
x y z



Q3) Explain:
Multiple bar diagram.
Pie diagram and
Histogram with suitable examples. Find the mode of the following distribution:
Production per day (tons) 21-22 23-24 25-26 27-28 29-30 31-32
No. of days 7 13 22 10 8 10
Q4) Find the Bowley's coefficient of skewness from the following data:
Value greater than 800 >700 >600 >500 >400 >300 >200 >100
Frequency 14 44 96 175 381 527 615 660
Q5) In a particular market 40% of the consumers prefer ready-made clothing. A sample
of 5 consumers is to be drawn. Find the probabilities of having 4
and 5 preferring readymade clothes.
In a normal distribution 31% of the items are under 45 and 18% are over 75. Find
the mean and standard deviation of the distribution.
Q6) In the accounting department of a bank 100 accounts are selected at random and examined
for errors. Suppose the following results have been obtained:
No. of errors 0 1 2 3 4 5 6
No. of accounts 35 40 19 2 0 2 2
Can it be concluded that the errors are distributed according to the Poisson probability
law.
Q7) Fit a quadratic trend to the following data:
Year 1988 1989 1990 1991 1992 1993 1994
Goods carried 180 192 195 204 202 221 219
(lacs. of tonns)
Also estimate the goods carried for the year 1996.
SECTION C
(Compulsory)
Q8) A news paper distributor assigns probabilities to the demand for a magazine as follows:
Copies demanded 1 2 3 4 5
Probability 0.3 0.3 0.2 0.1 0.1
A copy of the magazine sells for Rs. 7 and costs Rs. 6. What can be the maximum possible
expected monetary value if the distributor can return unsold copies for Rs. 5 each?