Maybe you wanna figure out, well, the distribution of people's heights with helmets on or plumed hats or whatever it might be, how would that affect, how would the mean of y and the standard deviation of y relate to x? So we could visualize that. So what the distribution of y would look like, so instead of this, instead of the center of the distribution, instead of the mean here being right at this point, it's going to be shifted up by k. In fact, we can shift, the entire distribution would be shifted to the right by k in this example. And maybe k is quite large. Maybe it looks something like that. This is my distribution for my random variable y here. And you can see that the distribution has just shifted to the right by k. So we have moved to the right by k. We would have moved to the left if k was negative or if we were subtracting k. And so this clearly changes the mean.