Question

Can A Probability Density Function Be Greater Than $1$?

Answer 1

Unlike probability, a probability density function can have values greater than one.

for example,

The uniform distribution on the interval $[0,12]$ has probability density $𝑓(𝑥)=2$ for $0\le 𝑥\le 12$ and $𝑓(𝑥)=0$elsewhere.

Hence, probability density function can be greater than 1.