337,216 views
19 votes
19 votes
Find the area of the shaded region under the standard distribution curve.

Find the area of the shaded region under the standard distribution curve.-example-1
User Jessa
by
2.6k points

1 Answer

4 votes
4 votes

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
User Graham Klyne
by
2.6k points