Question

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

A. 2.5000
B. 0.9452
C. 0.1841
D. 0.7611

Answer 1

D. 0.7611

Explanation:

The area is:

P(z<1.60) − P(z<-0.90)

Looking up the values in a z-score table:

0.9452 − 0.1841

0.7611

Answer 2

D. 0.7611

Explanation:

We have been given a graph of a normal standard distribution curve. We are asked to find the area of the shaded region under the given standard distribution curve.

The area of the shaded region under the standard distribution curve would be area of a z-score of 1.60 minus area of a z-score of
`-0.90` that is
`P(-0.90<z<1.60)=P(z<1.60)-P(z<-0.90)`

Using normal distribution table, we will get:

`P(-0.90<z<1.60)=0.94520-0.18406`

`P(-0.90<z<1.60)=0.76114`

Therefore, the shaded area under the curve is 0.7611 and option D is the correct choice.