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APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
FIRST TRIMESTER MBA DEGREE EXAMINATION OCTOBER 2016

MBA 11 QUANTITATIVE TECHNIQUES

Max. Marks: 60 Duration: 3 Hours

Use of statistical tables permitted
Any missing data shall be assumed. All assumptions must be clearly stated

Part A
Answer all questions. Each question carries 2 marks

1. Discuss probability by (a) Relative Frequency Approach, and (b) Subjective Approach

2.

8.

"The mean deviation of individual values in a data set from their actual mean is always
zero. So, such a measure would be useless as an indicator of variation". How can this
problem be solved?
Differentiate between Discrete and Continuous Probability Distributions with example
‘Because the hypothesis testing process uses sample statistics calculated from random data
to reach conclusions about population parameters, it is possible to make incorrect decisions
(or enors) about the null hypothesis". What are these enors?
Enumerate the different steps in One-way ANOVA

(5x2 marks = 10 marks)

Part B
Answer any 3 questions. Each question carries 10 marks

a. Explain with examples: (i) Marginal Probability, (11) Joint Probability and (iii)
Conditional Probability (3)

b. The track records of 3 famous national level shooters are as follows: Mr. X can hit his
target 4 times in 5 shots, Mr. Y can hit 3 times in 4 shots, and Mr. Z can hit twice in 3
shots. In the final of a prestigious title, they fire a volley. What is the probability that
two shots hit? (Hint: Volley — all fire once simultaneously to hit the target) (7) 7.

a. Calculate the Coefficient of Variation of a set of data, if Karl Pearson's
Coefficient of Skewness = 0.42, Arithmetic Mean = 86, and Median = 80. (4)

b. The unemployment data for some Indian cities are shown as below: (6)

No. of unemployed (in 1103 | 305 | 5to7 | 709 | 9011 | 11௦
lakhs) | | 13
No. of cities | 4 | 12 | 13 | 19 | 7 | 5

a. "Incase of a finite population, a statistical adjustment can be made to the zformula
for sample means". Explain the correction factor applied here. (3)

0. In a particular curve at NH 47, the Motor Vehicle Department noticed that 100
accidents took place in a span of 500 days. Assuming that the number of accidents

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