Recent Question/Assignment

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.
Assessment Parameter Weightage Assessment Parameter Weightage
Introduction 20% Understanding and usage of the formula 20%
Concepts and Application related to the question 60%
Procedure / Steps 50%
Conclusion 20%
Kindly check below
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
(02) 13,938
493
3,200
1,08,1
53
95,255
3,188
5,647
1,932
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
(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
(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
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
(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
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
(28) 49,670
7,898
10,847
5,33,5
44
2,31,471
37,07
9
13,104
24,79
0
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
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
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)
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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