Question

Find the total of the areas under the standard normal curve to the left of 2₁ and to the right of z22. Round your answer to four decimal places, if necessary.2₁=-1.97, 2₂ = 1.97ARGUSEm TablesLE

Answer 1

Using a z-score table, find the probabilities below

$\begin{gathered} P(-1.97>z) \\ and \\ P(1.97Furthermore,[tex]P(-1.97Then,[tex]\begin{gathered} A_{left}=P(z<-1.97)=0.0244 \\ and \\ A_{right}=P(z>1.97)=0.0244 \\ \end{gathered}$

This is consistent with the fact that the normal distribution is symmetric about z=0.

$\Rightarrow A=A_{left}+A_{right}=2*0.0244=0.0488$

Thus, the total area is equal to 0.0488