Find the area of the shaded region under the standard distribution curve.

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asked Sep 10, 2023 212k views

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DeadSec · Answer 1 · 2023-09-15T18:55:42+0000

We have a standard distribution curve, and we need to find the area of the shaded region, which is given by:

$P(-0.90This can be rewritten as the expression:[tex]\begin{gathered} P(-0.90In a standard normal table, we find the following values:[tex]\begin{gathered} P(z<1.60)=0.9452 \\ P(z<0.90)=0.8159 \\ 1-P(z<0.90)=1-0.8159=0.1841 \end{gathered}$

If we replace these values into the expression we obtain:

[tex]P(-0.90The area of the shaded region is 0.7611

Find the area of the shaded region under the standard distribution curve.

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