finding values of a normally distributed random variable

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HAWKES LEARNING SYSTEMS Students Matter. Success Counts. Copyright © 2013 by Hawkes Learning Systems/Quant Systems, 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.

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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.

TRANSCRIPT

Page 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.

Page 2: Finding Values of a Normally Distributed Random Variable

Forward and Backwards, a Mathematical Pattern

1. Addition and Subtraction are inverse operations. Each one undoes the other.

2. Multiplication and Division are inverse operations. Each one undoes the other.

3. 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.

Page 3: Finding Values of a Normally Distributed Random Variable

Problems We’ve Done Before – “Find the area”

.

x

z

Area = ???

σ = 15 70.55

0 1.37

We knew the x valuesand

we knew the z values

Page 4: Finding Values of a Normally Distributed Random Variable

The New Problems

.

x

z

Area = .0853

σ = 15 ???

0 ???

Find the x and z values that make it

happen

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