Chapter 2.1, Problem 4.2CYU

To determine

The proportion of observation lies between 7 and 8.

Answer to Problem 4.2CYU

The proportion of observation lies between $7$ and $8$ is $0.12$ .

Explanation of Solution

Given:

  

Calculation:

Compute the proportion of the observations lie between $7$ and $8$ .

That is

  $\begin{array}{l}P(7<X<8)\\ P(7<X<8)={\displaystyle \underset{7}{\overset{8}{\int }}f(x)}dx\\ ={\displaystyle \underset{7}{\overset{8}{\int }}0.12}dx\\ =0.12\end{array}$

Conclusion:

Hence, $100\%$ of the observations are lie between 7 and 8 is $0.12$ .