Continuous Random Variables

Probability Density Functions(PDF)

From yesterday

Hopefully you noticed:

Also if X and Y are independent random variables

Probabilities of a CRV

The total area under a probability density function is equal to 1

Particular probabilities are found by finding the areas under the curve between the required values.

ExampleA random variable has the pdf:

a) Draw the pdfb) Find P(X<12)c) Find P(X>22.5)d) Find P(6.3<X<11.8)

Example

A bakery producing pastry sheets believes that the thickness of the sheets is uniformly distributed between 1.5mm and 2.0mm. Pastry sheets with a thickness below 1.6mm are rejected. What percentage of the sheets are rejected?

139 can now all be done…

Tomorrow we will look at the triangle distribution then have Friday in class to work on problems to try catch up.

If you need more questions than your homework book I will have some others…

Continuous Random Variables

Documents

+ Chapter 6 Random Variables 6.1Discrete and Continuous Random Variables 6.2Transforming and Combining Random Variables 6.3Binomial and Geometric Random

Special continuous random variables

Continuous Random Variables

5. Continuous Random Variables - University of Michigandept.stat.lsa.umich.edu/~ionides/425/notes/continuous... · · 2013-03-085. Continuous Random Variables Continuous random

Continuous Random Variables Continuous Random Variables Chapter 6

5. Continuous Random Variables

Chapter 16 - Continuous Random Variables

Chapter 7 Random Variables 7.1: Discrete and Continuous Random Variables

Continuous Random Variables and their Probability Distributions · 2017-08-08 · Continuous Random Variables and their Probability Distributions Continuous Random Variables A continuous

Chapter 4 Continuous Random Variables and Probability ...homepage.divms.uiowa.edu/~rdecook/stat2020/notes/ch4_pt2.pdf · Continuous and Discrete Random Variables Continuous Random

Chapter 5: Continuous Random Variables

ReviewCh4-Continuous Random Variables

Contents Basic Probability Descriptive Statistics Discrete Random Variables Continuous Random Variables Examples of Random Variables Sampling

Simulation - Generating Continuous Random Variables

Chapter 6. Continuous Random Variables

Part V: Continuous Random Variables

Chapter 6 Continuous Random Variables

Continuous Probability Distributionsdebdeep/p5.pdfContinuous Probability Distributions Thursday, January 24, 13 2 Continuous Random Variables • Discrete random variables – Random

Chapter 16 Continuous Random Variables

Probability Distributions Continuous Random Variables