EXECUTIVE MBA DEGREE EXAMINATION, MAY 2017
First Second Year
QUANTITATIVE TECHNIQUES FOR MANAGERIAL
DECISIONS
Time 3 Hours Maximum Marks 70
Section A x 5 15)
Answer three questions
Q1) Explain the types of functions with examples.
Distinguish between dispersion and skewness.
Give the three definitions of probability.
Define normal distribution. State its properties.
Explain sampling distribution and standard error.
What is a time series? What are its components.
Section B x 15 45)
Answer three questions
Q2) Evaluate ò x2 log x dx

Q3) Explain Pie diagram Histogram and Frequency curve with suitable
examples. Calculate the mode from the following data.
Marks 10-19 20-29 30-39 40-49 50-59 60-69 70-79 80-89
No. of
Students: 7 15 18 25 30 20 16 9
Q4) Calculate Karl-Pearson's coefficient of skewness from the following data
Height less than7 <14 <21 <28 <35 <42 <49 <56

No. of trees: 26 57 92 134 216 287 341 360
Q5) An experiment succeeds twice as often as it fails. What is the probability that in
next five trials there will be at least three successes and at most three
successes.
At a certain examination10% of the students who appeared for the paper in
statistics got less than 30 marks and 97% of the students got less than 62 marks.
Assuming the distribution to be normal, find the mean and standard deviation of
the distribution.
Q6) Explain simple random sampling and stratified random sampling and their
relative advantages and disadvantages.
The results of a survey to know the educational attainment among 100 persons,
randomly selected in a locality are given below
Middle High School Collage
Male 110 115 125
Female 125 110 115
Can you say that the level of education depends upon sex?
Q7) Fit a second degree parabola for the following data and estimate the value for 1998.
Years 1999 2000 2001 2002 2003 2004 2005
Production 25 31 33 38 31 40 45
Section C
(Compulsory)
Q8) Given the information concerning product A as unit profit Rs. 3 salvage loss
per unit Rs. 2 demand recorded over 300 days is as under
Units demanded 5 6 7 8 9
Days 30 60 90 75 45
Find EMV if 8 units are ordered and expected profit pressuming certainty of demand.