Question 8 ii The distance in km of 40 engineers from their residence to their place of work were found as follows- Wegin matrix 5 - 3 - 10 - 20 - 25 - 11 - 13 - 7 - 12 - 31 119 - 10 - 12 - 17 - 18 - 11 - 32 - 17 - 16 - 2 17 - 9 - 7 - 8 - 3 - 5 - 12 - 15 - 18 - 3 112 - 14 - 2 - 9 - 6 - 15 - 15 - 7 - 6 - 12lendmatrix What is the empirical probability that an engineer lives-ii more than or equal to 7 km from her place of work-

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Standard VII

Mathematics

Chance and Probability

Question 8 ii...

Question

Question 8 (ii)
The distance (in km) of 40 engineers from their residence to their place of work were found as follows.
$\begin{matrix} 5 & 3 & 10 & 20 & 25 & 11 & 13 & 7 & 12 & 31 19 & 10 & 12 & 17 & 18 & 11 & 32 & 17 & 16 & 2 7 & 9 & 7 & 8 & 3 & 5 & 12 & 15 & 18 & 3 12 & 14 & 2 & 9 & 6 & 15 & 15 & 7 & 6 & 12 \end{matrix}$
What is the empirical probability that an engineer lives:
(ii) more than or equal to 7 km from her place of work?

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Solution

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

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Q. Question 8 (i)
The distance (in km) of 40 engineers from their residence to their place of work were found as follows.

\begin{matrix} 5 & 3 & 10 & 20 & 25 & 11 & 13 & 7 & 12 & 31 19 & 10 & 12 & 17 & 18 & 11 & 32 & 17 & 16 & 2 7 & 9 & 7 & 8 & 3 & 5 & 12 & 15 & 18 & 3 12 & 14 & 2 & 9 & 6 & 15 & 15 & 7 & 6 & 12 \end{matrix}

What is the empirical probability that an engineer lives:
(i) less than7 km from her place of work?

Question 8 (ii)
The distance (in km) of 40 engineers from their residence to their place of work were found as follows.
$\begin{matrix} 5 & 3 & 10 & 20 & 25 & 11 & 13 & 7 & 12 & 31 19 & 10 & 12 & 17 & 18 & 11 & 32 & 17 & 16 & 2 7 & 9 & 7 & 8 & 3 & 5 & 12 & 15 & 18 & 3 12 & 14 & 2 & 9 & 6 & 15 & 15 & 7 & 6 & 12 \end{matrix}$
What is the empirical probability that an engineer lives:
(ii) more than or equal to 7 km from her place of work?

The distance (in km) of 40 engineers from their residence to their place of work were found as follows: 5 3 10 20 25 11 13 7 12 31 19 10 12 17 18 11 32 17 16 2 7 9 7 8 3 5 12 15 18 3 12 14 2 9 6 15 15 7 6 12.

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?

Q. The distance (in km) of