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Decision
Science
December 2022 Examination
Q1. Your favorite team
Garuda is in the final season of Indian Premier League. Raj Kaul, an expert has
assigned a probability of 60% that Garuda will win based on his study of the
current scenario. Past records indicate that when teams win the championship,
they win the first game of the series 70% of the time. When they lose the
series, they win the first game 25% of the time.
The first game is over; your
team has lost. What is the probability that it will win the series?
Note:
• Probability Tree Diagram
is required in this question. You are advised to draw the diagram in Word,
PowerPoint etc.
• Do not draw the diagram
manually, handwritten/ snapshots are not allowed. (10 Marks)
Ans 1.
It is based on the existing scenario; the series of these events, i.e.,
The Indian Premier League's final season, features their preferred group,
Garuda. According to experienced, i.e., Raj Kaul, Garuda's possibility to win
is 60% based on his analysis of the current circumstance. When groups win 70%
of the time, they win the series opener in the championship, Records from the
previous program. After losing 25% of the time in the series, they take the
opening game. The opening suit is finished, and their team is lost or defeated.
Q2. Run Regression
Analysis based
on the given Data.
1. Calculate the
Line of regression Y on X
(Don’t use Excel,
calculate manually)
2. What is
b1 telling you about
the
relationship?
Shivani Raje is making
Kakhra and selling online via e-commerce websites. Recently she is looking
for some insights for improvising the quality of her product. She thought of survey, she asked her recent customers about the quality
of the product and their
satisfaction level towards the
same. Her scale
is 1
to 5. Higher
the score higher the satisfaction/ quality and
lower
score value indicates lower
level
of satisfaction
and poor quality.
|
Customer
Satisfaction score (Y) |
Quality
Ratings given by Customer (X) |
|
5 |
5 |
|
5 |
5 |
|
5 |
4 |
|
5 |
4 |
|
5 |
5 |
|
5 |
5 |
|
5 |
3 |
|
5 |
5 |
|
4 |
4 |
|
4 |
4 |
|
4 |
4 |
|
4 |
4 |
|
4 |
3 |
|
4 |
3 |
|
4 |
4 |
|
4 |
2 |
|
3 |
3 |
|
3 |
3 |
|
3 |
3 |
|
3 |
2 |
|
2 |
2 |
|
2 |
2 |
|
1 |
1 |
|
1 |
1 |
|
1 |
1 |
|
1 |
3 |
|
1 |
1 |
Note: You are
advised to calculate manually,
do not use software. (10 Marks)
Ans 2.
Calculations of
Regression Analysis:
|
X |
Y |
X*Y |
χ2 |
y² |
|
5 |
5 |
25 |
25 |
25 |
|
5 |
5 |
25 |
25 |
25 |
|
4 |
5 |
20 |
16 |
25 |
Q3a. Calculate the Relative Frequency based on the following Data and using ‘Relative
frequency’
discuss the data
by
choosing appropriate graph.
Data: District wise
Micro, Small and Medium Enterprises
|
State Name |
District Name |
Total MSMEs |
|
TRIPURA |
WEST TRIPURA |
2915 |
|
TRIPURA |
SOUTH TRIPURA |
586 |
|
TRIPURA |
DHALAI |
439 |
|
TRIPURA |
NORTH TRIPURA |
854 |
|
TRIPURA |
KHOWAI |
514 |
|
TRIPURA |
UNAKOTI |
447 |
|
TRIPURA |
SEPAHIJALA |
383 |
|
TRIPURA |
GOMATI |
513 |
Data Source: Data.gov.in
Note:
·
You may use EXCEL, Tableau,
Power BI Etc.
for creating Graph.
·
You are allowed to copy graph only, make sure you follow the general instructions for
writing assignment. (5
Marks)
Ans 3a.
|
State
Name |
District
Name |
Number of Micro, Small and Medium
Enterprises |
Relative Frequency = Subgroup frequency, the total frequency |
Result |
Q3b.
1. Analyze the following data and
show the top 2 districts using Bar chart.
2. Calculate the median and provide
the list of districts above median
value.
|
State Name |
District Name |
Number of
Micro, Small
and Medium
Enterprises |
|
ANDHRA PRADESH |
SRIKAKULAM |
10895 |
|
ANDHRA PRADESH |
VIZIANAGARAM |
30186 |
|
ANDHRA PRADESH |
VISAKHAPATNAM |
29070 |
|
ANDHRA PRADESH |
EAST GODAVARI |
26546 |
|
ANDHRA PRADESH |
WEST GODAVARI |
33541 |
|
ANDHRA PRADESH |
KRISHNA |
23231 |
|
ANDHRA PRADESH |
GUNTUR |
25479 |
|
ANDHRA PRADESH |
PRAKASAM |
45171 |
|
ANDHRA PRADESH |
SPSR NELLORE |
54059 |
|
ANDHRA PRADESH |
Y.S.R |
37500 |
|
ANDHRA PRADESH |
KURNOOL |
15362 |
|
ANDHRA PRADESH |
ANANTHAPUR |
21193 |
|
ANDHRA PRADESH |
CHITOOR |
27670 |
Data Source: Data.gov.in
Note: You are
advised to calculate manually,
do not use software. (5 Marks)
Ans 3b.
1).
Based
on the given data, it analyses the Relative Frequency is the series of outcomes
created by detailed data that figure out the relative frequency. Each time they
carry out the study, they can transform this periodicity. The determined
relative frequency of an occasion will approach the predicted possibility of
occurring in the different experiments they run. It is revealed that the WEST
TRIPURA
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