Decision Science DEC 2021

Assignments JUNE 2024

Decision Science DEC 2021

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Course: Decision Science

December 2021 Examination

 

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  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)

 

  1. 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

 

 

  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 72,829  

5,468

  

5,757

    

5,16,724

    

10,228

  
(03) 6,92,4 11,29 15,13
  59 5 9
 

CHANDIG

 14,435  

787

  

8,725

  

1,06,7

  

1,85,856

  

7,463

  

13,769

  

1,290
ARH (04) 74
 

UTTARAK

 25,691  

1,733

  

7,717

  

3,64,6

  

2,65,536

  

6,530

  

19,304

  

4,913
HAND (05) 98
 

HARYANA

 1,05,741  

6,670

  

8,047

  

12,84,

  

6,77,595

  

14,66

  

12,805

  

23,72
(06) 022 5 2
NCT OF 1,19,575  

7,610

  

23,224

    

18,14,435

    

73,391

  
DELHI (07) 12,01, 39,05 15,65
  945 1 4
 

RAJASTH

 49,392  

4,192

  

13,275

  

12,88,

  

3,29,428

  

9,374

  

18,313

  

13,81
AN (08) 934 0
UTTAR 91,265    

12,649

    

4,35,014

    

36,835

  
PRADESH 14,57 20,52, 19,47 30,90
(09) 8 928 3 7
BIHAR 12,127  

2,371

  

2,105

    

45,028

  

2,959

  

3,258

  
(10) 7,99,3 15,27
  73 5
SIKKIM 2,616  

257

  

698

    

16,926

  

2,617

  

925

  

331
(11) 14,76
  4
 

ARUNACH

 8,260  

1,104

  

599

  

18,96

  

41,110

  

8,613

  

928

  

319
AL 2
PRADESH  
(12)  
 

NAGALAN

 4,420  

921

  

1,103

  

15,30

  

28,567

  

9,993

  

1,783

  

471
D (13) 7
MANIPUR 419  

267

  

321

  

5,378

  

1,804

  

1,801

  

520

  

185
(14)
 

MIZORAM

 1,795  

209

  

361

  

2,522

  

9,918

  

1,009

  

446

  

424
(15)

 

 

  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 6,795  

143

  

149

    

15,891

  

955

  

283

  

578
(16) 17,50
  2
 

MEGHALA

 2,726  

403

  

1,878

  

25,46

  

17,727

  

4,407

  

3,025

  

4,418
YA (17) 9
ASSAM 6,642  

2,378

  

1,834

    

74,921

    

3,074

  

5,495
(18) 1,56,1 49,69
  84 7
WEST 36,504  

7,436

  

5,567

    

4,32,269

    

15,470

  
BENGAL 7,49,9 76,03 23,67
(19) 96 6 6
 

JHARKHA

 31,154  

4,061

  

5,872

  

9,84,4

  

3,83,816

  

16,09

  

15,672

  

25,10
ND (20) 64 4 1
ODISHA 11,709  

3,735

  

4,935

    

1,11,038

    

10,369

  

9,282
(21) 3,27,4 40,91
  76 7
 

CHHATTIS

 29,610  

1,843

  

3,160

  

4,01,9

  

2,69,311

  

11,21

  

7,196

  

11,43
GARH (22) 47 3 6
MADHYA 52,026  

7,859

  

9,221

    

3,86,776

    

22,575

  
PRADESH 12,87, 15,60 27,46
(23) 527 9 0
GUJARAT 75,552    

5,722

    

10,46,192

    

12,864

  
(24) 18,86 6,28,4 1,23, 17,92
  5 73 091 8
DAMAN 2,933  

159

  

220

    

67,115

  

1,653

  

306

  

335
& DIU (25) 12,30
  9
DADRA & 2,588  

220

  

181

    

54,455

  

3,247

  

451

  

957
NAGAR 19,95
HAVELI 0
(26)  
 

MAHARAS

 2,49,129  

30,50

  

33,678

  

18,31,

  

25,37,638

  

1,01,

  

87,034

  

69,11
HTRA (27) 9 160 924 1
ANDHRA 49,670  

7,898

  

10,847

    

2,31,471

    

13,104

  
PRADESH 5,33,5 37,07 24,79
(28) 44 9 0

 

 

 

  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

 1,24,179  

12,95

  

38,944

  

8,40,4

  

6,57,819

  

61,44

  

63,643

  

31,55
KA (29) 3 42 4 7
GOA (30) 8,838  

1,149

  

953

  

45,85

  

64,852

  

6,212

  

1,716

  

1,661
4
 

LAKSHAD

 59  

7

  

234

  

118

  

2,200

  

19

  

340

  

29
WEEP (31)
KERALA 24,874  

1,219

  

3,195

    

1,29,875

  

6,970

  

6,758

  
(32) 1,02,2 19,70
  55 9
TAMIL 43,823  

3,271

  

20,435

    

2,19,262

    

38,727

  
NADU (33) 3,73,2 14,18 21,73
  92 1 2
 

PUDUCHE

 7,389  

925

  

2,014

  

1,03,4

  

43,572

  

2,566

  

2,908

  

16,10
RRY (34) 34 7
 

ANDAMA

 1,419  

107

  

226

  

16,73

  

26,304

  

1,915

  

455

  

340
N & 1
NICOBAR  
ISLANDS  
(35)  

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

 

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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