NMIMS DEC 2021 DECISION SCIENCE

DECISION SCIENCE

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?

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/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
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
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
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

 

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.

 

Call us: +919741410271

Email: smu.assignment@gmail.com