Last updated at Aug. 25, 2021 by Teachoo

Ex15.1, 8 The distance (in km) of 40 engineers from their residence to their place of work were found as follows. What is the empirical probability that an engineer lives: less than 7 km from her place of work? Total number of engineers = 40 Number of engineers living less than 7 km from their place of work = 9 P(engineer lives less than 7 km from her place of work) = (ππ’ππππ ππ πππππππππ πππ£πππ πππ π π‘βππ 7ππ ππππ βππ πππππ ππ π€πππ)/(πππ‘ππ ππ’ππππ ππ πππππππππ ) = 9/40 Ex15.1, 8 (Method 1) The distance (in km) of 40 engineers from their residence to their place of work were found as follows. What is the empirical probability that an engineer lives: (ii) more than or equal to 7 km from her place of work? Total number of engineers = 40 Number of engineers living more than or equal to 7 km from their place of work = 40 β 9 = 31 P(engineer lives less than 7 km from her place of work) = (ππ’ππππ ππ πππππππππ πππ£πππ πππ π π‘βππ 7ππ ππππ βππ πππππ ππ π€πππ)/(πππ‘ππ ππ’ππππ ππ πππππππππ ) = 31/40 Ex15.1, 8 (Method 2) The distance (in km) of 40 engineers from their residence to their place of work were found as follows. What is the empirical probability that an engineer lives: (ii) more than or equal to 7 km from her place of work? P(engineer lives more than or equal to 7 km from her place of work) = 1 β P(engineer lives less than 7 km from her place of work) = 1 β 9/40 = (40 β 9)/40 = 31/40 Ex15.1, 8 The distance (in km) of 40 engineers from their residence to their place of work were found as follows. What is the empirical probability that an engineer lives: (iii) within 1/2 km from her place of work? Total number of engineers = 40 Number of engineers living within 1/2 km from their place of work = 0 P(engineer living within 1/2 km from their place of work) =(ππ’ππππ ππ πππππππππ πππ£πππ π€ππ‘βππ 1/2 ππ ππππ π‘βπππ πππππ ππ π€πππ)/(πππ‘ππ ππ’ππππ ππ πππππππππ ) = 0/40 = 0