Question

Use Table A to find the value $z$from the standard Normal distribution that satisfies each of the following conditions. In each case, sketch a standard Normal curve with your value of $z$marked on the axis.

4. The ${20}^{th}$percentile

Short answer

The value of $z$is $-0.84$. And the standard Normal curve is,

Step-by-step solution

Given Information 

Given that,${20}^{th}$ percentile

Value of $z=?$

Explanation 

Using standard normal table,

$$\begin{gathered} P(Z<z)=20\% \\ P(Z<z)=0.20 \\ P(Z<-0.84)=0.20 \\ z=-0.84 \end{gathered}$$