Decision Science | NMIMS Assignment Help June 2023 Questions

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? Note: Draw the tree diagram for the above problem. Handwritten tree diagram is prohibited.

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.

no of followersno of post per day
4392
3401
3154
4445
3772
4565
4952
3042
4015
3055
3384
3482
4021
3955

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.

Age groupMaleFemale
0-498,34,73891,27,975
5-91,09,59,50699,58,059
10-141,24,25,1081,14,51,227
15-191,26,83,7331,65,18,666
20-241,31,97,2833,36,58,466
25-291,30,45,2143,75,22,017
30-341,21,34,0093,42,86,096
35-391,20,60,0303,30,54,887
40-441,09,00,1432,72,61,236
45-4997,04,0262,34,47,716
50-5479,40,1521,78,42,986
55-5961,61,7541,51,92,910
60-6454,01,7361,43,47,372
65-6936,87,0821,01,41,196
70-7426,62,42170,33,728
75-7913,41,57234,93,001
80-8514,61,29642,53,695