Question

Find the area under the Standard Normal Curve in-between z = -2.39 and z = 1.03Use the Normal table and give answer using 4 decimal places.

Answer 1

Recall that the area under the standard normal curve in-between z₁ and z₂ is:

`P(z_1We know that:[tex]P(z_1Therefore the area under the Standard Normal Curve in-between z = -2.39 and z = 1.03 is:[tex]P(z<1.03)-P(z<-2.39).`

From normal tables we get:

`\begin{gathered} P(z<1.03)=0.84849, \\ P(z<-2.39)=0.0084242. \end{gathered}`

Therefore the area under the Standard Normal Curve in-between z = -2.39 and z = 1.03 is:

`0.84849-0.0084242=0.8400658\approx0.8401.`

Answer: 0.8401.