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Decision Science NMIMS Assignment December 2021

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Decision Science NMIMS Assignment Solution Sept 2021

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NMIMS Global Access
School for Continuing Education (NGA-SCE)
Course: Decision Science
Internal Assignment Applicable for December 2021 Examination

Assignment Marks: 30

Instructions:
 All Questions carry equal marks.
 All Questions are compulsory
 All answers to be explained in not more than 1000 words for question 1 and 2 and for
question 3 in not more than 500 words for each subsection. Use relevant examples,
illustrations as far as possible.
 All answers to be written individually. Discussion and group work is not advisable.
 Students are free to refer to any books/reference material/website/internet for attempting
their assignments, but are not allowed to copy the matter as it is from the source of
reference.
 Students should write the assignment in their own words. Copying of assignments from
other students is not allowed.
 Students should follow the following parameter for answering the assignment questions.

Kindly check below
For Theoretical Answer
Assessment Parameter Weightage
Introduction 20%
Concepts and Application
related to the question
60%
Conclusion 20%
For Numerical Answer
Assessment Parameter Weightage
Understanding and usage
of the formula
20%
Procedure / Steps 50%
Correct Answer &
Interpretation
30%
NMIMS Global Access
School for Continuing Education (NGA-SCE)
Course: Decision Science
Internal Assignment Applicable for December 2021 Examination
1. Calculate the probabilities for the following statements as per the given scenario
and draw the probability tree diagram also (Note: This diagram can be prepared
in MS-Paint or manually).
A study undertaken by the Rajan Supervisor of Elections in 2002 revealed that 44% of
registered voters are ‘Dharwadi Yuth’, 37% are Rajmoti, and 19% are others. If two
registered voters are selected at random, what is the probability that both of them have
the same party affiliation?
(10 Marks)
2. Calculate the correlation between pairs (recommended below) of the following
variables and write interpretation for each correlation coefficient. (Note: For the
following pairs, correlation can be calculated using EXCEL.) (10 Marks)
Recommended Pairs:
1. Correlation between ‘number of female migrants for work/ employment’ v/s ‘Number
of male migrants for work/ employment
2. Correlation between ‘number of female migrants _ Education’ v/s ‘Number of male
migrants _Education’
3. Correlation between ‘number of female migrants _ Business’ v/s ‘Number of male
migrants _ Business’
4. Correlation between ‘number of female migrants _ Marriage’ v/s ‘Number of male
migrants _marriage’
Table: State to state migration with reasons of migration as per census 2011.
Work/empl
oyment
Busi
ness
Educa
tion
Marr
iage
Work/empl
oyment
Busi
ness
Educa
tion
Marr
iage
State
_name
Females Fem
ales
Femal
es
Fema
les
Male Male Male Male
JAMMU &
KASHMIR
(01)
4,911
495

1,085

43,13
0

22,716

1,985

1,762

1,372
HIMACHA
L
PRADESH
(02)
13,938
493

3,200

1,08,1
53

95,255

3,188

5,647

1,932
NMIMS Global Access
School for Continuing Education (NGA-SCE)
Course: Decision Science
Internal Assignment Applicable for December 2021 Examination
Work/empl
oyment
Busi
ness
Educa
tion
Marr
iage
Work/empl
oyment
Busi
ness
Educa
tion
Marr
iage
State
_name
Females Fem
ales
Femal
es
Fema
les
Male Male Male Male
PUNJAB
(03)
72,829
5,468

5,757

6,92,4
59

5,16,724

11,29
5

10,228

15,13
9
CHANDIG
ARH (04)
14,435
787

8,725

1,06,7
74

1,85,856

7,463

13,769

1,290
UTTARAK
HAND (05)
25,691
1,733

7,717

3,64,6
98

2,65,536

6,530

19,304

4,913
HARYANA
(06)
1,05,741
6,670

8,047

12,84,
022

6,77,595

14,66
5

12,805

23,72
2
NCT OF
DELHI (07)
1,19,575
7,610

23,224

12,01,
945

18,14,435

39,05
1

73,391

15,65
4
RAJASTH
AN (08)
49,392
4,192

13,275

12,88,
934

3,29,428

9,374

18,313

13,81
0
UTTAR
PRADESH
(09)
91,265
14,57
8

12,649

20,52,
928

4,35,014

19,47
3

36,835

30,90
7
BIHAR
(10)
12,127
2,371

2,105

7,99,3
73

45,028

2,959

3,258

15,27
5
SIKKIM
(11)
2,616
257

698

14,76
4

16,926

2,617

925

331
ARUNACH
AL
PRADESH
(12)
8,260
1,104

599

18,96
2

41,110

8,613

928

319
NAGALAN
D (13)
4,420
921

1,103

15,30
7

28,567

9,993

1,783

471
MANIPUR
(14)
419
267

321

5,378

1,804

1,801

520

185
MIZORAM
(15)
1,795
209

361

2,522

9,918

1,009

446

424
NMIMS Global Access
School for Continuing Education (NGA-SCE)
Course: Decision Science
Internal Assignment Applicable for December 2021 Examination
Work/empl
oyment
Busi
ness
Educa
tion
Marr
iage
Work/empl
oyment
Busi
ness
Educa
tion
Marr
iage
State
_name
Females Fem
ales
Femal
es
Fema
les
Male Male Male Male
TRIPURA
(16)
6,795
143

149

17,50
2

15,891

955

283

578
MEGHALA
YA (17)
2,726
403

1,878

25,46
9

17,727

4,407

3,025

4,418
ASSAM
(18)
6,642
2,378

1,834

1,56,1
84

74,921

49,69
7

3,074

5,495
WEST
BENGAL
(19)
36,504
7,436

5,567

7,49,9
96

4,32,269

76,03
6

15,470

23,67
6
JHARKHA
ND (20)
31,154
4,061

5,872

9,84,4
64

3,83,816

16,09
4

15,672

25,10
1
ODISHA
(21)
11,709
3,735

4,935

3,27,4
76

1,11,038

40,91
7

10,369

9,282
CHHATTIS
GARH (22)
29,610
1,843

3,160

4,01,9
47

2,69,311

11,21
3

7,196

11,43
6
MADHYA
PRADESH
(23)
52,026
7,859

9,221

12,87,
527

3,86,776

15,60
9

22,575

27,46
0
GUJARAT
(24)
75,552
18,86
5

5,722

6,28,4
73

10,46,192

1,23,
091

12,864

17,92
8
DAMAN
& DIU (25)
2,933
159

220

12,30
9

67,115

1,653

306

335
DADRA &
NAGAR
HAVELI
(26)
2,588
220

181

19,95
0

54,455

3,247

451

957
MAHARAS
HTRA (27)
2,49,129
30,50
9

33,678

18,31,
160

25,37,638

1,01,
924

87,034

69,11
1
ANDHRA
PRADESH
(28)
49,670
7,898

10,847

5,33,5
44

2,31,471

37,07
9

13,104

24,79
0
NMIMS Global Access
School for Continuing Education (NGA-SCE)
Course: Decision Science
Internal Assignment Applicable for December 2021 Examination
Work/empl
oyment
Busi
ness
Educa
tion
Marr
iage
Work/empl
oyment
Busi
ness
Educa
tion
Marr
iage
State
_name
Females Fem
ales
Femal
es
Fema
les
Male Male Male Male
KARNATA
KA (29)
1,24,179
12,95
3

38,944

8,40,4
42

6,57,819

61,44
4

63,643

31,55
7
GOA (30) 8,838
1,149

953

45,85
4

64,852

6,212

1,716

1,661
LAKSHAD
WEEP (31)
59
7

234

118

2,200

19

340

29
KERALA
(32)
24,874
1,219

3,195

1,02,2
55

1,29,875

6,970

6,758

19,70
9
TAMIL
NADU (33)
43,823
3,271

20,435

3,73,2
92

2,19,262

14,18
1

38,727

21,73
2
PUDUCHE
RRY (34)
7,389
925

2,014

1,03,4
34

43,572

2,566

2,908

16,10
7
ANDAMA
N &
NICOBAR
ISLANDS
(35)
1,419
107

226

16,73
1

26,304

1,915

455

340
Source: D3 Table, Census 2011.
3.a. From the following uniformly distributed data scene calculate the probability w.r.t
statement.
The weekly output of a steel mill is a uniformly distributed random variable that lies
between 110 and 175 metric tons.
1. Compute the probability that the steel mill will produce more than 150 metric tons next
week.
2. Determine the probability that the steel mill will produce between 120 and 160 metric
tons
(5 Marks)
NMIMS Global Access
School for Continuing Education (NGA-SCE)
Course: Decision Science
Internal Assignment Applicable for December 2021 Examination
3.b. Draw the histogram separately (for Person, male and female) and write the
interpretation.
The following table shows the age group-wise total number of Migrants as per census 2011.
Age Group Total number of Migrant
persons
Total number of Migrant
Males
Total number of Migrant
Females
0-4 1,89,62,713 98,34,738 91,27,975
5-9 2,09,17,565 1,09,59,506 99,58,059
10-14 2,38,76,335 1,24,25,108 1,14,51,227
15-19 2,92,02,399 1,26,83,733 1,65,18,666
20-24 4,68,55,749 1,31,97,283 3,36,58,466
25-29 5,05,67,231 1,30,45,214 3,75,22,017
30-34 4,64,20,105 1,21,34,009 3,42,86,096
35-39 4,51,14,917 1,20,60,030 3,30,54,887
40-44 3,81,61,379 1,09,00,143 2,72,61,236
45-49 3,31,51,742 97,04,026 2,34,47,716
50-54 2,57,83,138 79,40,152 1,78,42,986
55-59 2,13,54,664 61,61,754 1,51,92,910
60-64 1,97,49,108 54,01,736 1,43,47,372
65-69 1,38,28,278 36,87,082 1,01,41,196
70-74 96,96,149 26,62,421 70,33,728
75-79 48,34,573 13,41,572 34,93,001
80+ 57,14,991 14,61,296 42,53,695
Source: D4 table, census 2011
Note: Here, Students may use EXCEL for the preparation of the Histogram.
(5 Marks)
**********

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