Decision Science September 2023 Examination 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) 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 calculati Q 3B: Draw the Line chart using EXCEL for the following variables and write your interpretations. Looking at the graph/
