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For more information, please see full course syllabus of Probability
For more information, please see full course syllabus of Probability
Probability Density & Cumulative Distribution Functions
Lecture Description
We are starting a chapter on continuous distributions. First section here is on density and cumulative distribution functions. Anytime you have a continuous probability distribution, you will have a density function and a cumulative distribution function. In this lesson we are going to explain what those are and make sure that you do not get those two mixed up. We use F for both of them, that is always a little confusing but we will try to highlight the differences and then we will do some example problems to practice them. We will also cover some properties of the CDF.
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1 answer
Thu Jun 1, 2017 5:45 PM
Post by Ernest Harris on May 30, 2017
Hi Prof. Murray,
Thank you, your lectures are helping me acquire a deeper understanding of the material.
For Example 1 part B:
To be sure, the accumulation does not double count the argument 2 because only one set of values actually includes 2 where as the other set only approaches 2. Is my thinking correct?
2 answers
Sat Apr 19, 2014 5:41 PM
Post by Ali Momeni on April 18, 2014
Hey Prof. Murray,
Example 1 part B is super confusing.
How did you know to add the INTEGRAL from 0 to 2 of (1/4 t) dt to the INTEGRAL from 2 to y of 1/4(4-t)dt? and why would you do that?
Does the formula -> INTEGRAL from a to b of f(y) dy = F(b) - F(a) apply here? If yes how?
Thank you very very much for your work and the time you take to answer questions! - Ali