Decision science Fully solved June 2023 free
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NMIMS Global Access
School for Continuing Education (NGA-SCE) Course: Decision Science
Internal Assignment Applicable for June 2023 Examination
Q 1: Bad gums may mean a bad mood. Researchers discovered that 85% of people who
have suffered a bad mood had periodontal disease, an inflammation of the gums. Only 29%
of healthy people have this disease. Suppose that in a certain community bad moods are
quite rare, occurring with only 10% probability. If someone has periodontal disease, what
is the probability that he or she will have a bad mood? (10 Marks)
Note: Draw the tree diagram for the above problem. Handwritten tree diagram is prohibited.
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Q 2: Using MS-EXCEL show the Regression model, consider ‘Instagram followers’ as dependent variable and ‘no f post per day’ as an independent variable. Write the interpretation of EXCEL Tables. Write the conclusion on the fitting of your model also.
(10 Marks)
no of
followers no of
post
per day
439 2
340 1
315 4
444 5
377 2
456 5
495 2
304 2
401 5
305 5
338 4
348 2
402 1
395 5
Q 3A): 1000 light bulbs with a mean life of 120 days are installed in a new factory and their length of life is normally distributed with standard deviation of 20 days.
If it is decided to replace all the bulbs together, what interval should be allowed between replacements if not more than 10% should expire before replacement? (5 Marks) Note: You are not supposed to use EXCEL or any other software to write this answer.
Q 3B): calculate the average age of migrants for both the categories of gender and write your interpretation. (5 Marks)
Age
group Male Female
0-4 98,34,738 91,27,975
5-9 1,09,59,506 99,58,059
10-14 1,24,25,108 1,14,51,227
15-19 1,26,83,733 1,65,18,666
20-24 1,31,97,283 3,36,58,466
25-29 1,30,45,214 3,75,22,017
30-34 1,21,34,009 3,42,86,096
35-39 1,20,60,030 3,30,54,887
40-44 1,09,00,143 2,72,61,236
45-49 97,04,026 2,34,47,716
50-54 79,40,152 1,78,42,986
55-59 61,61,754 1,51,92,910
60-64 54,01,736 1,43,47,372
65-69 36,87,082 1,01,41,196
70-74 26,62,421 70,33,728
75-79 13,41,572 34,93,001
80-85 14,61,296 42,53,695
Note: You are not supposed to use EXCEL or any other software to write this answer
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