# What does PDF of normal distribution represents? [duplicate]

I have a basic question about the probability density function of the standard normal distribution $$X\sim N(0,1)$$. I understand that the cumulative distribution function for x is $$P(X\le x)$$ (in R language it can be obtained by pnorm(x,mean =0, sd =1)). However, I don't understand what $$f(x)$$ represents (in R: dnorm(x,mean =0, sd =1)) ? $$f(x) = \frac{1} { \sqrt{2\pi } } e^{ -x^2/ 2}$$

Note that for a discrete random variable, like the binomial distribution, it is equivalent to $$P(Y=x)$$.

• You can find the explanation from internet or textbook. For example, onlinecourses.science.psu.edu/stat414/node/97 – user158565 Oct 20 '18 at 6:00
• Thanks for the link. According to the definition, f(x) does not represent anything, only it is helpful in finding getting P(X<x). – Aryo Z Oct 20 '18 at 8:16