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Decision Science Assignment - NMIMS Global Acces
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Assignment Task
Questions
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?
2: Using MS-EXCEL to show the Regression model, consider ‘Instagram followers’ as the 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.
| 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 |
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 a 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?
B): calculate the average age of migrants for both the categories of gender and write your interpretation.
| 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 |
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