So for our random variable x, this length right over here is one standard deviation. Well, that's also going to be the same as one standard deviation here. This is one standard deviation here. This is going to be the same as our standard deviation for our random variable y. And so we can say the standard deviation of y, of our random variable y, is equal to the standard deviation of our random variable x. So if you just add to a random variable, it would change the mean, but not the standard deviation. You see it visually here.