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Decision science september 2023

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Assignment Solution : Decision science september 2023

NMIM$ Global Access

School for Continuing Education (NGA-SCE)

Course: Business Law september 2023

Internal Assignment Applicable for september 2023 Examination

Q.1) : Determine the probabilities for the below given statements and write your interpretation using following data.  

  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.(10 Marks)

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.

  1. 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.
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
1990-91 242 363
1995-96 250 309
2000-01 257 303
2005-06 265 291
2010-11 291 283
2015-16 304 244
2020-21 311 241

 

Last date : 29th August

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