Difference between a PDF and a CDF?

Click For Summary
The probability density function (PDF) and cumulative distribution function (CDF) are closely related concepts in statistics. The CDF is indeed the integral of the PDF, which means it represents the probability that a random variable takes on a value less than or equal to a specific point. Conversely, the PDF is the derivative of the CDF, indicating the likelihood of the random variable taking on a specific value. Understanding this relationship clarifies the distinction between the two functions. This foundational knowledge is essential for analyzing probability distributions effectively.
ChemIsHard
Messages
15
Reaction score
0
I'm having a lot of trouble figuring out the difference between a probability density function and a cumulative distribution function.

Is the CDF just the integral of the PDF?

Thanks in advance.
 
Physics news on Phys.org
The PDF (probability density function) is the derivative of the CDF (cumulative distribution function). Conversely, the CDF is the integral of the PDF.
 
Alright that's what I thought. Much appreciated! I was freaking out haha.
 

Thread 'Distance between a Clock's hands when the distance is increasing most rapidly'

Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?
View full post »

Similar threads

How Can You Draw from a PDF in Python Without the CDF?
  • · Replies 9 ·
Replies
9
Views
2K
For the cdf F(x) find the pmf f(x), 25th percentile, 60th percentile
  • · Replies 4 ·
Replies
4
Views
2K
Determine whether the PDF converges in distribution
  • · Replies 8 ·
Replies
8
Views
2K
Undergrad Finding the pdf of a transformed univariate random variable
  • · Replies 3 ·
Replies
3
Views
2K
Find the cdf given a pdf with absolute value
  • · Replies 3 ·
Replies
3
Views
5K
Statistics: probability distribution problem
  • · Replies 11 ·
Replies
11
Views
2K
What Are the Steps to Solve CDF and PDF Calculations in a Given Range?
  • · Replies 4 ·
Replies
4
Views
10K
Finding the pdf and cdf of this function
  • · Replies 2 ·
Replies
2
Views
3K
CDF of Distance and Angle from Origin of N(0, 1) RVs Y and Z
  • · Replies 6 ·
Replies
6
Views
2K
Finding the CDF from a PDF with absolute value function
  • · Replies 8 ·
Replies
8
Views
12K