what does it mean to find the area of the shaded region? The shaded area is to the right of z=2.04

Question

anonymous · Answer

What shape is the shaded region? Do you have a picture?

anonymous · Answer

It's the shape of a bell.  And on the right hand side of the tail is shaded.

anonymous · Answer

Do you have the equation of the line?

anonymous · Answer

The problem says to draw a standard normal curve and shade the area to the right of z= 2.04. Then find the area of the shaded region.

anonymous · Answer

I don't know how to answer this, exactly. I did find this though, hopefully it will help: http://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/part-c-average-value-probability-and-numerical-integration/session-65-bell-curve-conclusion/MIT18_01SCF10_Ses65a.pdf

anonymous · Answer

Thank you the book shows that the answer is 0.0207 but I just don't understand how they get that.  I know when I look under the Standard Normal Distribution chart that answer is under -2.0 but why wouldn't I look under 2.0 instead of -?

zarkon · Answer

$$P(Z>2.04)=1-P(Z\le 2.04)$$


or by the symmetry of the standard normal distributuon

$$P(Z>2.04)=P(Z<-2.04)$$

anonymous · Answer

Thank you!