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 $1 half$ km from her place of work?

Solution

Total number of female engineers = 40
(i) Number of female engineers whose distance (in km) from their residence to their place of work is less than 7 km = 9.
∴ Probability that an engineer lives less than 7 km from her plae of work = $9 over 40.$

(ii) Number of female engineers whose distance (in km) from their residence to their place of work is more than or equal to 7 km = 31.

∴Probability that an engineer lives more than or equal to 7 km from her place of residence $equals 31 over 40.$

Aliter: Probability that an engineer lives more than or equal to 7 km from her place of residence = 1 – probability that an engineer lives less than 7 km from her place of work $equals 1 minus 9 over 40 equals 31 over 40$

(iii) Number of female engineers whose distance (in km) from their residence to their place of work is within $WiredFaculty$
$therefore$ Probablity that an engineer lives within $1 half space$ km from her place of work = $0 over 40 equals 0.$

Some More Questions From Introduction to Mathematical Modelling Chapter

Activity: Note the frequency of two wheelers, three wheelers and four wheelers going past during a time interval, in front of your school gate. Find the probability that any one vehicle out of the total vehicles you have observed is a two-wheeler.

Activity: Ask all the students in your class to write a 3-digit number. Choose any student from the room at random. What is the probability that the number written by her/him is divisible by 3 ? Remember that a number is divisible by 3, if the sum of its digits is divisible by 3.

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Introduction To Mathematical Modelling

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 $1 half$ km from her place of work?

Some More Questions From Introduction to Mathematical Modelling Chapter

Activity: Note the frequency of two wheelers, three wheelers and four wheelers going past during a time interval, in front of your school gate. Find the probability that any one vehicle out of the total vehicles you have observed is a two-wheeler.

Activity: Ask all the students in your class to write a 3-digit number. Choose any student from the room at random. What is the probability that the number written by her/him is divisible by 3 ? Remember that a number is divisible by 3, if the sum of its digits is divisible by 3.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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For Daily Free Study Material Join wiredfaculty

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Introduction To Mathematical Modelling

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 km from her place of work?

Some More Questions From Introduction to Mathematical Modelling Chapter

Activity: Note the frequency of two wheelers, three wheelers and four wheelers going past during a time interval, in front of your school gate. Find the probability that any one vehicle out of the total vehicles you have observed is a two-wheeler.

Activity: Ask all the students in your class to write a 3-digit number. Choose any student from the room at random. What is the probability that the number written by her/him is divisible by 3 ? Remember that a number is divisible by 3, if the sum of its digits is divisible by 3.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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 $1 half$ km from her place of work?