is that I know it's guaranteed to be positive can never be negative so a Gaussian is not a right fit because the Gaussian even if up without positive it'll still have something running negative well then it's not going to work out as nicely with your math and your product to make a trade-off you might say you know what it's fine I take a Gaussian far enough positive a small enough variance there's very low probability mass and a negative and the math will work out cleanly and that's what I'm going to use or you might say