Determine the probability that the steel mill will produce between 120 and 160 metric tons

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GET NMIMS MBA Solved Assignment Solutions Case Studies & Projects Contact: Prakash Call us: +919741410271 Email: smu.assignment@gmail.com Visit: - https://www.mbaassignmentsolutions.com/ DECISION SCIENCE l. 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? 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.) 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/ employment State_name JAMMU & KASHMIR (01) HIMACHAL Pradesh (02)

Busin ess Femal es

Educati on Female s

Marria ge Femal es

Work/ employm ent

Busin ess

Educati on

Marria ge

Females

Male

Male

Male

Mal e 137 2 193 2 151 39 129 0 491 3 237 22 156 54 138 10

4911

495

1085

43130

22716

1985

1762

13938

493

3200

108153

3188

5647

PUNJAB (03) CHANDIGAR GH (04) UTTARAKH AND (05) HARYANA (06) NCT OF DELHI (07) RAJASTHAN (08) UTTAR PRADESH (09)

72829

5468

5757

692459

11295

10228

14435

787

8725

106774

7463

13769

25691 10574 1 11957 5

1733

7717

364698

6530

19304

6670

8047

1284022

14665

12805

7610

23224

1201945

39051

73391

49392

4192

13275

1288934

95255 51672 4 18585 6 26553 6 67759 5 18144 35 32942 8

9374

18313

91265

14578

12649

2052928

43501 4

19473

36835

BIHAR (10) SIKKIM (11) ARUNANCH AL PRADESH (12) NAGALAND (13) MANIPUR (14) MIZORAM (15) TRIPURA (16) MEGHALAY A (17)

12127 2616

2371 257

2105 698

799373 14764

45028 16926

2959 2617

3258 925

309 07 152 75 331

8260

1104

599

18962

41110

8613

928

319

4420

921

1103

15307

28567

9993

1783

471

419

267

321

5378

1804

1801

520

185

1795

209

361

2522

9918

1009

446

424

6795

143

149

17502

15891

955

283

2726

403

1878

25469

17727

4407

3025

ASSAM (18) WEST BENGAL (19) JHARKHAN D (20) ODISHA (21)

6642

2378

1834

156184

49697

3074

36504

7436

5567

749996

76036

15470

31154 11709

4061 3735

5872 4935

984464 327476

74921 43226 9 38381 6 11103

16094 40917

15672 10369

578 441 8 549 5 236 76 251 01 928


CHHATTISG ARH (22) MADHYA PRADESH (23) GUJARAT (24) DAMAN & DIU (25) DADRA & NAGAR HAVELI (26) MAHARASH TRA (27) ANDHRA PRADESH (28) KARNATAK A (29)

29610

1843

3160

401947

52026

7859

9221

1287527

75552

18856

5722

2933

159

2588 24912 9

8 26931 1

11213

7196

2 114 36

15609

22575

628473

38677 6 10461 92

123091

12864

274 60 179 28

220

12309

67115

1653

306

335

220

181

19950

3247

451

30509

33678

1831160

54455 25376 38

49670 12417 9

7898

10847

533544

12953

38944

840442

23147 1 65781 9

GOA (30) LAKSHADW EEP (31)

8838

1149

953

45854

59

7

234

118

KERALA (32) TAMIL NADU (33) PUDUCHERR Y (34) ANDAMAN & NICOBAR ISLANDS

24874

1219

3195

102255

43823

3271

20435

7389

925

1419

107

101924

957 6911 87034 1 247 90 315 57 166 1

37079

13104

61444

63643

64852

6212

1716

19

340

6970

6758

373292

2200 12987 5 21926 2

14181

38727

2014

103434

43572

2566

2908

29 197 09 217 32 161 07

226

16731

26304

1915

455

340

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 0-4 5-9 10-14 15-19 20-24 25-29 30-34 35-39 40-44 45-49 50-54 55-59 60-64 65-69 70-74 75-79 80+

Total number of Migrant Total number of Migrant Total number of Migrant persons Males Females 18962713 9834738 9127975 20917565 10959506 9958059 23876335 12425108 11451227 29202399 12683733 16518666 46855749 13197283 33658466 50567231 13045214 37522017 46420105 12134009 34286096 45114917 12060030 33054887 38161379 10900143 27261236 33151742 9704026 23447716 25783138 7940152 17842986 21354664 6161754 15192910 19749108 5401736 14347372 13828278 3687082 10141196 9696149 2662421 7033728 4834573 1341572 3493001 5714991 1461296 4253695

Source: D4 table, census 2011 Note: Here, students may use Excel for the preparation of the Histogram.

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