This is my first post, so I hope this question belongs here (and isn't too strange) I've seen a graphic where Chi-squared densities with different degrees of freedom were plotted and I was wondering why the Graphs for densities with one and two degrees are strictly decreasing whereas from three degrees on it is unimodal. Coming from the the density formula I do understand it but intuitively as a sum of squared standard normal random variables I do not. Shouldn't zero be always the "most likely" outcome? Thanks for helping!
Graphs of Chi-squared densities
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density-function
chi-squared