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=(1)/(9)\cdot(8-6) \\ A=(2)/(9)\text{ units\textasciicircum{}2} \end{gathered}`

Find the area of the total region

`A=(1)/(9)\cdot(9)=1\text{ units\textasciicircum{}2}`

Find the probability

`P=(((2)/(9)))/(1)=(2)/(9)`

therefore

the answer is

2/9