Skip to content Skip to navigation

Connexions

You are here: Home » Content » Continuous Random Variables: Summary of The Uniform and Exponential Probability Distributions

Navigation

Recently Viewed

This feature requires Javascript to be enabled.
 

Continuous Random Variables: Summary of The Uniform and Exponential Probability Distributions

Module by: Kathy Chu. E-mail the author

Based on: Continuous Random Variables: Summary of The Uniform and Exponential Probability Distributions by Susan Dean, Barbara Illowsky, Ph.D.

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: f⁢X = 1b-a fX=1b-a for a≤X≤b 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).

Content actions

Download module as:

PDF | EPUB (?)

What is an EPUB file?

EPUB is an electronic book format that can be read on a variety of mobile devices.

Downloading to a reading device

For detailed instructions on how to download this content's EPUB to your specific device, click the "(?)" link.

| More downloads ...

Add module to:

My Favorites (?)

'My Favorites' is a special kind of lens which you can use to bookmark modules and collections. 'My Favorites' can only be seen by you, and collections saved in 'My Favorites' can remember the last module you were on. You need an account to use 'My Favorites'.

| A lens I own (?)

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? tag icon

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

| External bookmarks