Nmims 2023 Plagiarized Assignments Contact
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Decision Science

Q 1: Determine the probabilities for the below given statements and write your interpretation using following data. (10 Marks)
Do you like Anupama?
No Yes Total
Do you like ‘Kyuki sas bhi kabhi
bahu thi”? No 15 5 20
Yes 5 25 30
Total 20 30 50


1. What is the probability that randomly selected person has said “yes, I like Kyuki…”?
2. What is the probability that randomly selected person has said “ I don’t like Kyuki…”?
3. What is the probability that randomly selected person has said “yes, I like Anupama…”?
4. What is the probability that randomly selected person has said “ I don’t like Arupama…”?
5. What is the probability that randomly selected person has said ‘like Anupama’, also said ‘like kyuki….’ prior to that?
6. What is the probability that randomly selected person has said ‘like Kyuki….’, also said “don’t like Anupama” prior to that?

Note: Do not use any software for the calculation, you are advised to show all necessary steps of calculations.

Q2: Calculate the correlations among all possible combinations of variables using the following data and write your interpretations. (10 Marks)

Note: You are advised to use EXCEL or any other software for the calculation of correlations.
State Urban No of
Bank Offices Urban Amount
Credit Urban Amount
Deposit Urban No of
Accounts
ANDAMAN & NICOBAR ISLANDS 31 10798.91 23009.661 300860
ANDHRA PRADESH 4254 1771561.22 1785273.21 56997520
ARUNACHAL PRADESH 71 18713.635 55093.574 620951
ASSAM 1164 321567.825 807884.938 15333369
BIHAR 3056 559501.655 1812236.67 42338127
CHANDIGARH 424 585840 549184 3364488
CHHATTISGARH 1284 599595.538 848908.706 15436631
DADRA & NAGAR HAVELI 35 9937.519 26367.337 488036
DAMAN & DIU 43 8227.23 36462.355 473049
GOA 397 126414.224 433800.37 3640393
GUJARAT 4831 3619277.92 4567644.04 60961143
HARYANA 2905 1446481.5 2226409.05 31466846
HIMACHAL PRADESH 381 90320.203 271842.575 2927090
JAMMU & KASHMIR 819 239474.898 578992.602 8568486
JHARKHAND 1501 385210.622 1302088.44 17698133
KARNATAKA 6204 4337559.3 6418221.89 72858087
KERALA 5949 2212958.59 3575806.38 59406050
LAKSHADWEEP 5 413.064 4906.115 34583
MADHYA PRADESH 3901 1447929.15 2508450.77 56132871
MAHARASHTRA 8846 21914275.1 21203097.7 139566919
MANIPUR 84 17502.179 47232.768 1216224
MEGHALAYA 165 30045.858 141589.032 1134644
MIZORAM 102 20101.754 51840.488 743615
NAGALAND 102 21505.157 70089.604 871327
NCT OF DELHI 3408 9559956.37 9604406.95 43749602
ODISHA 2123 678962.946 1608027.32 21675814
PUDUCHERRY 180 75818.599 118598.454 1989219
PUNJAB 3681 1547952.7 2283001.19 35795072
RAJASTHAN 3988 1475735.94 2194328.32 45786526
SIKKIM 39 10980.099 42445.246 303941
TAMIL NADU 7218 6172405.9 5455337.41 89424694
TELANGANA 3296 3359268.45 3303802.62 43319782
TRIPURA 216 41708.593 127616.832 2685808
UTTAR PRADESH 8522 2490881.56 5930432.61 117339360
UTTARAKHAND 1042 251706.35 748447.406 8992680
WEST BENGAL 4498 3061581 5141434.75 65921120

Data Source: RBI
Q 3A: In Maharashtra there are 20 Big companies in IT sector. Out of these, 15 companies are in Mumbai. What is probability that at least two companies are from Mumbai if total 3 companies selected randomly to form a sample. (5 Marks)

Note: Do not use any software for the calculation, you are advised to show all necessary steps of calculations.

Q 3B: Draw the Line chart using EXCEL for the following variables and write your interpretations. Looking at the graph/ numbers (in the table) what type of correlation is suspected between crop area of wheat and cereals. (5 Marks)

Year AREA UNDER CULTIVATION Wheat (Lakh hectares) AREA UNDER CULTIVATION Coarse
Cereals (Lakh hectares)
1965-66 126 443
1970-71 182 460
1975-76 205 438
1980-81 223 418
1985-86 230 395
1990-91 242