Page 1 of 3

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY
MBA ? SEMESTER I ? EXAMINATION ? WINTER 2018

Subject Code: 3519207 Date: 01/01/2019
Time:10:30 am - 1:30 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 following terms with examples
(a) Range of a data set
(b) Independent variable
(c) Mutually exclusive events
(d) Seasonal variation
(e) Median of ungrouped data
(f) Discrete random variable
(g) Relative Frequency
14
Q.2 (a) What is a Correlation? What are the types of Correlation? 07
(b) The prices of agricultural commodities for 2013 and 2016 for the month
of December are given below along with the quantities consumed
commodities in 2013.
Commodities
Prices (Rs.) Quantity (lbs.)
for 2013 2013 2016
Rice 20 40 8
Wheat 50 60 10
Jowar 40 50 15
Cotton (raw) 20 20 20

Calculate Laspeyre?s Index by keeping 2013 as base year.
07

OR

(b) Determine a regression line equation for the following two variables to
predict y from x:
07
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Page 1 of 3

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY
MBA ? SEMESTER I ? EXAMINATION ? WINTER 2018

Subject Code: 3519207 Date: 01/01/2019
Time:10:30 am - 1:30 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 following terms with examples
(a) Range of a data set
(b) Independent variable
(c) Mutually exclusive events
(d) Seasonal variation
(e) Median of ungrouped data
(f) Discrete random variable
(g) Relative Frequency
14
Q.2 (a) What is a Correlation? What are the types of Correlation? 07
(b) The prices of agricultural commodities for 2013 and 2016 for the month
of December are given below along with the quantities consumed
commodities in 2013.
Commodities
Prices (Rs.) Quantity (lbs.)
for 2013 2013 2016
Rice 20 40 8
Wheat 50 60 10
Jowar 40 50 15
Cotton (raw) 20 20 20

Calculate Laspeyre?s Index by keeping 2013 as base year.
07

OR

(b) Determine a regression line equation for the following two variables to
predict y from x:
07
Page 2 of 3

x 14 16 17 20 22 24 30 33 40
y 4 2 6 8 4 9 10 12 15

Q.3 (a) Explain three components of Time-series except Seasonal variation. 07
(b) Calculate Mean, Median, Variance and Standard Deviation for the
following data set.
12, 14, 10, 6, 7, 13, 10, 4
07
OR
Q.3 (a) Write a short note on Measures of Shape. 07
(b) Compute Paasche?s Index for the following data by keeping the year 1995
as base year.
Commodities
Quantity (units) Price (Rs.)
1995 2000 1995 2000
A 100 150 5 6
B 80 100 4 5
C 60 72 2.5 5
D 30 33 12 9

07

Q.4 (a) Explain the concept of Autocorrelation in detail. 07
(b) A company launches an advertising campaign of its new product on TV,
radio and in print media in an area where 30% watch TV, 50% listen to
the radio and the rest rely on news papers for all information. It is
product with probability 0.6. A person who has heard it on radio is
expected to buy the product with probability 0.3 and seeing the
probability 0.1. A consumer, chosen at random, is found to have
purchased the product. What is the probability she heard about the
07

OR
Q.4 (a) Discuss elements of Decision theory. 07
(b) Determine Karl Peasron?s co-efficient of correlation and also comment
on the relationship between two variables on the basis of the same.
07
FirstRanker.com - FirstRanker's Choice
Page 1 of 3

Seat No.: ________ Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY
MBA ? SEMESTER I ? EXAMINATION ? WINTER 2018

Subject Code: 3519207 Date: 01/01/2019
Time:10:30 am - 1:30 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 following terms with examples
(a) Range of a data set
(b) Independent variable
(c) Mutually exclusive events
(d) Seasonal variation
(e) Median of ungrouped data
(f) Discrete random variable
(g) Relative Frequency
14
Q.2 (a) What is a Correlation? What are the types of Correlation? 07
(b) The prices of agricultural commodities for 2013 and 2016 for the month
of December are given below along with the quantities consumed
commodities in 2013.
Commodities
Prices (Rs.) Quantity (lbs.)
for 2013 2013 2016
Rice 20 40 8
Wheat 50 60 10
Jowar 40 50 15
Cotton (raw) 20 20 20

Calculate Laspeyre?s Index by keeping 2013 as base year.
07

OR

(b) Determine a regression line equation for the following two variables to
predict y from x:
07
Page 2 of 3

x 14 16 17 20 22 24 30 33 40
y 4 2 6 8 4 9 10 12 15

Q.3 (a) Explain three components of Time-series except Seasonal variation. 07
(b) Calculate Mean, Median, Variance and Standard Deviation for the
following data set.
12, 14, 10, 6, 7, 13, 10, 4
07
OR
Q.3 (a) Write a short note on Measures of Shape. 07
(b) Compute Paasche?s Index for the following data by keeping the year 1995
as base year.
Commodities
Quantity (units) Price (Rs.)
1995 2000 1995 2000
A 100 150 5 6
B 80 100 4 5
C 60 72 2.5 5
D 30 33 12 9

07

Q.4 (a) Explain the concept of Autocorrelation in detail. 07
(b) A company launches an advertising campaign of its new product on TV,
radio and in print media in an area where 30% watch TV, 50% listen to
the radio and the rest rely on news papers for all information. It is
product with probability 0.6. A person who has heard it on radio is
expected to buy the product with probability 0.3 and seeing the
probability 0.1. A consumer, chosen at random, is found to have
purchased the product. What is the probability she heard about the
07

OR
Q.4 (a) Discuss elements of Decision theory. 07
(b) Determine Karl Peasron?s co-efficient of correlation and also comment
on the relationship between two variables on the basis of the same.
07
Page 3 of 3

x 133 110 105 115 120 122 130 140 160 165
y 59 70 85 50 111 90 95 75 60 65

Q.5

ELECTRA LMIMITED is the manufacturer of electrical equipment to be
used in the production of automobiles. The average life-time of the
equipment is 80 hours with a standard deviation of 16 hours. The life-
times are normally distributed.

(a) What is the probability that the equipment has a life-time of more than
120 hours?
07
(b) What is the probability that the equipment has a life-time between 90 and
100 hours?
07

OR

Q.5 (a) What is the probability that the equipment has a life-time of less than 65
hours?
07
(b)

What is the probability that the equipment has a life-time between 50 and
75 hours?
07

***********
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