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8. The distance (in km) of 40 engineers from their residence to their place of work were found as follows: 6 3 10 20 26 11 13 7 12 31 19 10 12 17 18 11 32 17 16 2 7 9 7 8 3 6 12 16 18 3 12 14 2 9 6 15 16 7 6 12 What is the empirical probability that an engineer lives: (i) less than 7 km from her place of work? (ii) more than or equal to 7 km from her place of work? (iii,) within ikm from her place of work?

8. The distance (in km) of 40 engineers from their residence to their place of work were found as follows:

6 3 10 20 26 11 13 7 12 31
19 10 12 17 18 11 32 17 16 2
7 9 7 8 3 6 12 16 18 3
12 14 2 9 6 15 16 7 6 12
What is the empirical probability that an engineer lives:
(i) less than 7 km from her place of work?
(ii) more than or equal to 7 km from her place of work?
(iii,) within ikm from her place of work?

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 8741 Points
8 months ago
Total number of engineers = 40. (i) Number of engineers having distance of less than 7 km from their residence to the place of work = 9. PROBABILITY 237 .. Probability that an engineer lives less than 7 km from her place of work = 9 . 40 (ii') Number of engineers having distance of more than or equal to 7 km from their residence to the place of work = 40 - 9 = 31. :. Probability that an engineer lives more than or equal to 7 km from her place of work = 31 40 (iii) There is no engineer within -i km from her place of work. :. Probability that an engineer lives within -ikm from her place of work = 0.

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