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Textbook by: Kathy Chu. E-mail the author

Summary of The Uniform Distribution

Module by: Kathy Chu. E-mail the author

Summary: This module provides a summary of formulas and definitions related to Continuous Random Variables.

Formula 1: Uniform

XX = a real number between aa and bb (in some instances, XX can take on the values aa and bb). aa = smallest XX ; bb = largest XX

XX ~ U(a, b)U(a,b)

The mean is μ=a+b 2 μ a+b 2

The standard deviation is σ= (b-a)2 12 σ (b-a)2 12

Probability density function: fX = 1b-a fX=1b-a for aXb a X b

Area to the Left of x: P(X<x)=(base)(height) P(X x) (base)(height)

Area to the Right of x: P(X>x)=(base)(height) P(X x) (base)(height)

Area Between c and d: P(c<X<d)=(base)(height)=(d-c)(height) P(c X d) (base)(height) (d-c)(height).

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Definition of a lens

Lenses

A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

Who can create a lens?

Any individual member, a community, or a respected organization.

What are tags?

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

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