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 1/2 km from her place of work?
Solution:
The probability of a certain event is given by the ratio of occurrence of a particular event by the total number of events.
Probability of an event, P(E) = Number of instances that event takes place/Total number of instances
Total number of engineers = 40
Number of engineers who live less than 7 km from their place of work = 9
Number of engineers who live more than or equal to 7 km from their workplace = 31
Number of engineers who live within 1/2 km from their place of work = 0
(i) Probability of an engineer who lives less than 7 km from their place of work = 9/40
(ii) Probability of an engineer who lives more than or equal to 7 km from their place of work = 31/40
(iii) Probability of an engineer who lives within 1/2 km from their place of work = 0/40 = 0
☛ Check: NCERT Solutions Class 9 Maths Chapter 15
Video Solution:
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 1/2 km from her place of work?
NCERT Solutions for Class 9 Maths Chapter 15 Exercise 15.1 Question 8
Summary:
We have found that the probability of an engineer who lives (i) less than 7 km from her place of work = 9/40, (ii) more than or equal to 7 km from her place of work = 31/40, and (iii) within 1/2 km from her place of work = 0
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