1. Finding Values of a Normally Distributed Random Variable
Section 6.4
Finding Values of a Normally Distributed Random Variable
This lesson is pretty much 100% revamped by D.R.S.,
University of Cordele, completely replacing publisher content with my own original stuff.
Most of the action is in the step-by-step PowerPoint/Video examples at the examples.drscompany.com web site.

2. Forward and Backwards, a Mathematical Pattern
Addition and Subtraction are inverse operations. Each one undoes the other.
Multiplication and Division are inverse operations. Each one undoes the other.
Squaring and Square Rooting are inverse operations. Each one undoes the other.
In Statistics, we go from x value to z value & back.
Also: z values lead us to areas, and now, we work backward from areas to z values, and also backward from areas to x values.

3. Problems We’ve Done Before – “Find the area”.
Area = ??? x
We knew the x values
and
we knew the z values
μ=50
σ = 15
70.55 z
1.37

4. The New Problems . Area = .0853 x ??? z ???
Find the x and z values that make it happen
μ=50
σ = 15
??? z
???