Yes, but I definitely think the probabilities are off - the explanation, which I agree with, states "a random birth is far more likely to fall near the present."

But it appears to be drawing much more uniformly from the years than you'd expect given the probability curve (population curve) pictured.

Bear in mind that the population curve defaults to a log scale on the year axis. If you switch it over to linear, that big fat area at the end shrinks to a needle-like spike..