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The distances (in km) of 30 female eng...

The distances (in km) of 30 female engineers from their residence to their place of work were found as follows: 5 3 10 20 25 11 13 7 12 31 19 10 12 17 18 11 32 17 16 2 12 14 2 9 6 15 15 7 6 2 Find the probability that an engineer lives: (i) less than 7 km from her place of work? (ii) at least 7km from her place of work? (iii) within `1/2k m` from her place of work? (iv) at most 15km from her place of work?

Text Solution

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From the given figure,
Number of engineers living less than 7km from her workplace `=9`
Number of engineers living more than or equal to 7km from her workplace `=40-9 =31`
Number of engineers living within 1/2 km from her workplace `=0`
Total number of engineers `= 40`

(i) Probability an engineer living less than 7km from her workplace `=9/40`
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