# Refer to Q.2, Exercise 14.2. 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 $$\frac{1}{2}$$ km from her place of work?

i) Total number of engineers = 40
Also, Number of engineers living in less than 7 km from their place of work = 9
Hence, required probability that an engineer lives less than 7 km from her place =
$$P = \frac{9}{40}$$

ii) Number of engineers living more than or equal to 7 km from their place of work = 40 - 9 = 31
Hence, required probability that an engineer lives more than or equal to 7 km from her place of work =
$$P = \frac{31}{40}$$

iii)Hence, required probability that an engineer lives within $$\frac{1}{2}$$ km from her place of work is P = 0.