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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.

Sagot :

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

[tex]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).[/tex]

From normal tables we get:

[tex]\begin{gathered} P(z<1.03)=0.84849, \\ P(z<-2.39)=0.0084242. \end{gathered}[/tex]

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

[tex]0.84849-0.0084242=0.8400658\approx0.8401.[/tex]

Answer: 0.8401.