Math 4030 - PowerPoint PPT Presentation

Loading...

PPT – Math 4030 PowerPoint presentation | free to download - id: 7ca4f4-MDZkM



Loading


The Adobe Flash plugin is needed to view this content

Get the plugin now

View by Category
About This Presentation
Title:

Math 4030

Description:

Title: Math 4030 3a Continuous Random Variables Author: Wendy Last modified by: Wendy Created Date: 2/6/2004 6:15:45 PM Document presentation format – PowerPoint PPT presentation

Number of Views:13
Avg rating:3.0/5.0
Slides: 8
Provided by: Wend1227
Learn more at: http://whuang.lakeheadu.ca
Category:
Tags: calculus | math

less

Write a Comment
User Comments (0)
Transcript and Presenter's Notes

Title: Math 4030


1
Math 4030 4b Continuous Random Variables
  • Density Function
  • PDF and CDF
  • Mean and Variance
  • Normal Distribution

2
Difficulties
  • Probability at a value
  • Addition rule
  • Axiom of probability
  • Zero probability event vs. empty event

Approach (Sec. 5.1)
  • Probability density function (pdf) f(x)
  • Area for probability ? cumulative distribution
    function (cdf) F(x)
  • Integral for area, fundamental theorem of
    calculus

3
Properties of f(x) and F(x)
Mean and Variance
4
Normal N(?, ?2) (Sec. 5.2)
Standard Normal N(0, 1)
5
z? notation A z-value that the probability for Z
to be greater than this value is exactly ?. Or
the cut point of the standard normal curve that
makes the area of the right tail exactly ?.
68-95-99.7 Rule
6
From General Normal to Standard Normal
  • If X N(µ, ?2), then the transformation
  • Z (X - µ) / ? results Z N(0, 1).

7
Normal Approximation to Binomial (Sec. 5.3)
Or if X has binomial distribution with parameters
n and p, then
  • For large n, npgt15, and n(1-p)gt15.
  • Correction for continuity
About PowerShow.com