LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
963 views
in Mathematics by (29.8k points)

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 : 

(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 1/2 km from her place of work?

1 Answer

0 votes
by (128k points)
selected by
 
Best answer

Total no. of engineers = 40 

Let us arrange the data in ascending order as follows : 

2, 2, 3, 3, 3, 5, 5, 6, 6, 7, 7, 7, 7, 8, 9, 9, 10, 10, 11, 11, 12, 12, 12, 12, 12, 13, 14, 15, 15, 15, 16, 17, 17, 18, 18, 19, 20, 25, 31, 32. 

(i) P (an engineer lives less than 7 km from her place of work)

= No. of engineers who live less than 7 km from their place of work / Total no. of engineers = 9/ 40

(ii) P (an engineer lives more than or equal to 7 km from her work place)

= No. of engineers who live more than or equal to 7 km from their work place / Total no. of engineers = 31/ 40

(iii) P (an engineer lives within 1/ 2 km from her place of work)

=  No. of engineers who live within km from their place of work 2 / 1Total no. of engineers 

= 0/ 40 = 0

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...