Question

Question 8 (i)
The distance (in km) of 40 engineers from their residence to their place of work were found as follows.
$$\begin{array}{cccccccccc}5& 3& 10& 20& 25& 11& 13& 7& 12& 31\\ 19& 10& 12& 17& 18& 11& 32& 17& 16& 2\\ 7& 9& 7& 8& 3& 5& 12& 15& 18& 3\\ 12& 14& 2& 9& 6& 15& 15& 7& 6& 12\end{array}$$
What is the empirical probability that an engineer lives:
(i) less than7 km from her place of work?

Answer 1

Total number of engineers = 40
(i) Number of engineers living less than 7 km from their place of work= 9
Hence, required probability that an engineer lives less than 7km from her place of Work, $P=\frac{9}{40}$