Page 1 of 3

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY
MBA (PART TIME) SEMESTER 01 - EXAMINATION ? SUMMER-2018

Subject Code: 3519906 Date:04/05/2018
Time: 10:30 AM To 01:30 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.

Q.1 Explain in short
(a) Define Kurtosis.
(b) State addition & multiplication rule of probability for two events A & B.
(c) What is Standard Normal Distribution?
(d) What is discrete and continuous variable?
(e) What is auto-correlation?
(f) What are the components of a time series?
(g) What is Hurwicz Criteria in decision making?

14
Q.2 (a) Enlist different types of charts and graphs to display
1) Qualitative data
2) Quantitative data

07
(b) Calculate Karl Pearson?s coefficient of skewness from the data given below:
Hourly
Wages
(Rs.)
No. of
Worker
s
Hourly
Wages
(Rs.)
No. of
Worker
s
40-50 5 90-100 30
50-60 6 100-110 36
60-70 8 110-120 50
70-80 10 120-130 60
80-90 25 130-140 70

07
OR

(b) Find the mean, Median and Mode of the following data

07

Class
Frequenc
y
300-325 5
325-350 17
350-375 80
375-400 227
400-425 326
425-450 248
450-475 88
475-500 9

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Page 1 of 3

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY
MBA (PART TIME) SEMESTER 01 - EXAMINATION ? SUMMER-2018

Subject Code: 3519906 Date:04/05/2018
Time: 10:30 AM To 01:30 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.

Q.1 Explain in short
(a) Define Kurtosis.
(b) State addition & multiplication rule of probability for two events A & B.
(c) What is Standard Normal Distribution?
(d) What is discrete and continuous variable?
(e) What is auto-correlation?
(f) What are the components of a time series?
(g) What is Hurwicz Criteria in decision making?

14
Q.2 (a) Enlist different types of charts and graphs to display
1) Qualitative data
2) Quantitative data

07
(b) Calculate Karl Pearson?s coefficient of skewness from the data given below:
Hourly
Wages
(Rs.)
No. of
Worker
s
Hourly
Wages
(Rs.)
No. of
Worker
s
40-50 5 90-100 30
50-60 6 100-110 36
60-70 8 110-120 50
70-80 10 120-130 60
80-90 25 130-140 70

07
OR

(b) Find the mean, Median and Mode of the following data

07

Class
Frequenc
y
300-325 5
325-350 17
350-375 80
375-400 227
400-425 326
425-450 248
450-475 88
475-500 9

Page 2 of 3

Q.3 (a) Suppose that a decision maker is faced with three decision alternatives and
four states of nature. The following table shows the profit payoff.
Alternatives
States of nature
S1 S2 S3 S4
A1 16 10 12 7
A2 13 12 9 9
A3 11 14 15 14

Assuming that he does not have any knowledge of the of the probabilities of
occurrence of the states of nature, find the decisions to be recommended
under each of the following criteria
1) Maximin
2) Maximax
3) Minimax Regret

07
(b) The probability of a bomb hitting a target is 0.2. Two bombs are enough to
destroy a bridge. If six bombs are aimed at the bridge, find the probability
that the bridge is destroyed.
07
OR
Q.3 (a) A maker of soft drinks is considering the introduction of new brand. He
expects to sell 50,000 to 1,00,000 bottles of the new soft drink in a given
period according to the following probability distribution.

No. of bottles sold (in '000s) 50 60 70 80 90 100
Probability 0.13 0.20 0.35 0.22 0.08 0.02

If the product is launched he will have to incur a fixed cost of Rs. 48,000.
However each bottle sold would give him a profit of Rs. 1.25. Should he
introduce the brand?

07
(b) A manufacturer, who produces medicine bottles, finds that 0.1% of the
bottles are defectives. Bottles are packed in boxes containing 500 bottles. A
drug manufacturer buys 100 boxes from the producers of bottles. Using
Poisson distribution, find how many boxes will contain
1) No defectives.
2) At least 2 defectives.
07

Q.4 (a) Explain different types of correlations with the help of scatter diagrams.

07
(b) From the following data calculate price index numbers for 2010 with 2000 as
base year by 1) Paasche?s Method and 2) Marshall-Edgeworth method.

Commodities
2000 2010
Price Quantity Price Quantity
A 20 8 40 6
B 50 10 60 5
C 40 15 50 15
D 20 20 20 25

07
OR
Q.4 (a) Explain the assumptions of simple linear regression model

07
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Page 1 of 3

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY
MBA (PART TIME) SEMESTER 01 - EXAMINATION ? SUMMER-2018

Subject Code: 3519906 Date:04/05/2018
Time: 10:30 AM To 01:30 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.

Q.1 Explain in short
(a) Define Kurtosis.
(b) State addition & multiplication rule of probability for two events A & B.
(c) What is Standard Normal Distribution?
(d) What is discrete and continuous variable?
(e) What is auto-correlation?
(f) What are the components of a time series?
(g) What is Hurwicz Criteria in decision making?

14
Q.2 (a) Enlist different types of charts and graphs to display
1) Qualitative data
2) Quantitative data

07
(b) Calculate Karl Pearson?s coefficient of skewness from the data given below:
Hourly
Wages
(Rs.)
No. of
Worker
s
Hourly
Wages
(Rs.)
No. of
Worker
s
40-50 5 90-100 30
50-60 6 100-110 36
60-70 8 110-120 50
70-80 10 120-130 60
80-90 25 130-140 70

07
OR

(b) Find the mean, Median and Mode of the following data

07

Class
Frequenc
y
300-325 5
325-350 17
350-375 80
375-400 227
400-425 326
425-450 248
450-475 88
475-500 9

Page 2 of 3

Q.3 (a) Suppose that a decision maker is faced with three decision alternatives and
four states of nature. The following table shows the profit payoff.
Alternatives
States of nature
S1 S2 S3 S4
A1 16 10 12 7
A2 13 12 9 9
A3 11 14 15 14

Assuming that he does not have any knowledge of the of the probabilities of
occurrence of the states of nature, find the decisions to be recommended
under each of the following criteria
1) Maximin
2) Maximax
3) Minimax Regret

07
(b) The probability of a bomb hitting a target is 0.2. Two bombs are enough to
destroy a bridge. If six bombs are aimed at the bridge, find the probability
that the bridge is destroyed.
07
OR
Q.3 (a) A maker of soft drinks is considering the introduction of new brand. He
expects to sell 50,000 to 1,00,000 bottles of the new soft drink in a given
period according to the following probability distribution.

No. of bottles sold (in '000s) 50 60 70 80 90 100
Probability 0.13 0.20 0.35 0.22 0.08 0.02

If the product is launched he will have to incur a fixed cost of Rs. 48,000.
However each bottle sold would give him a profit of Rs. 1.25. Should he
introduce the brand?

07
(b) A manufacturer, who produces medicine bottles, finds that 0.1% of the
bottles are defectives. Bottles are packed in boxes containing 500 bottles. A
drug manufacturer buys 100 boxes from the producers of bottles. Using
Poisson distribution, find how many boxes will contain
1) No defectives.
2) At least 2 defectives.
07

Q.4 (a) Explain different types of correlations with the help of scatter diagrams.

07
(b) From the following data calculate price index numbers for 2010 with 2000 as
base year by 1) Paasche?s Method and 2) Marshall-Edgeworth method.

Commodities
2000 2010
Price Quantity Price Quantity
A 20 8 40 6
B 50 10 60 5
C 40 15 50 15
D 20 20 20 25

07
OR
Q.4 (a) Explain the assumptions of simple linear regression model

07
Page 3 of 3

(b) Calculate (i) three yearly & (ii) five yearly moving averages for the following
data:
Year y
1990 242
1991 250
1992 252
1993 249
1994 253
1995 255
1996 251
1997 257
1998 260
1999 265
2000 262

07
Q.5

A departmental store gives in-service training to its salesmen which is
followed by a test. It is considering whether it should terminate the services
of any salesman who does not do well in the test.

The following data shows the test scores and sales made by nine salesmen
during a certain period:

Test Scores 14 19 24 21 26 22 15 20 19
Sales ('000 Rs.) 31 36 48 37 50 45 33 41 39

a) Calculate the coefficient of correlation between the test scores and the
sales.

b) Estimate the most probable sales volume of a salesman making a score of
28.

OR

c) If the firm wants a minimum sales volume of Rs. 30,000, what is the
minimum test score that will ensure continuation of service?

d) Estimate what will be the score if a salesman has achieved a sales of Rs.
55,000.

7

7

7

7

*************

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