Chapter 7, Problem 1CQ

(a)

To determine

The proportion of population in between 2 and 4.

Answer to Problem 1CQ

The proportion of population in between 2 to 4 is $0.32$ .

Explanation of Solution

Given:

The probability density curve is,

  

Calculation:

The proportion of population in between 2 to 4 is calculated as follows:

  $\begin{array}{l}p\left(2\le X\le 4\right)=1-p\left(0\le X\le 2\right)-p\left(4\le X\le 10\right)\\ p\left(2\le X\le 4\right)=1-0.59-0.09\\ p\left(2\le X\le 4\right)=0.32\end{array}$

Thus, the proportion of population in between 2 to 4 is $0.32$ .

(b)

To determine

The proportion of population in greater than 2.

Answer to Problem 1CQ

The proportion of population in greater than 2 is $0.41$ .

Explanation of Solution

Given:

The probability density curve is,

  

Calculation:

The proportion of population in greater than 2 is calculated as follows:

  $\begin{array}{l}p\left(X>2\right)=1-p\left(0\le X\le 2\right)\\ p\left(X>2\right)=1-0.59\\ p\left(X>2\right)=0.41\end{array}$

Thus, the proportion of population in greater than 2 is $0.41$ .