This is likely a duplicate, but can't find it on MSE.
Let's say I have a normally distributed population with $\mu=2.75$ and $\sigma=0.25$. If $x$ is a value in the population of interest, using the normal probability distribution function I find that
and using the normal cumulative probability distribution I find that
At first glance, it seems counterintuitive that a value being equal to 3 is more likely to be chosen from the population than a value being less than or equal to 3.
I do not have a strong statistics background, but I understand that the normal probability density curve is continuous (while the population must be finite and hence discrete), and I suspect this may be the issue with this seeming paradox.
Now my question is:
Can someone give an elementary explanation for why this occurs using simple (practical) language?