Question

Given the uniform distribution below, find the probability of the shaded region. Give your answer infraction form.

Answer 1

we know that

To find out the probability of the shaded region, divide the area of the shaded region by the total area

so

Area of the shaded region is

$\begin{gathered} A=\frac{1}{9}\cdot(8-6) \\ A=\frac{2}{9}\text{ units\textasciicircum{}2} \end{gathered}$

Find the area of the total region

$A=\frac{1}{9}\cdot(9)=1\text{ units\textasciicircum{}2}$

Find the probability

$P=\frac{(\frac{2}{9})}{1}=\frac{2}{9}$

therefore

the answer is

2/9