You're probably correct as to babies. But the prostate gland is extremely cancerous and my assumption would be that that tendency begins at either birth or puberty. The exponential function spends the entire infinite length of the negative x-axis rising from 0 to 1; think about the growth of cancer in your prostate gland that way.

I would not expect a man in his late 20s to fall into the category "men of an advanced age". But I would be unsurprised to learn that there was visible protocancer in a sample of his prostate.