Variable

Yeah, absolutely.

I think you can make it a little bit more simpler at the genesis of the question by just asking yourself one question before you actually fire off that request to the HRBP or whoever, and that is, if X, I will do A.

If Z, I will do B.

Basically, what are you deciding you're going to do depending on what the data shows you? That's the first thing you need to ask yourself as the person firing off that request, because that changes-

the whole conversation.

So going back to that example where I was talking about, you know, I feel like the sales team.

So you might say, if attrition in these critical roles is at X, I will start funding a retention program or looking into a retention program.

If it's Y, I'll do nothing.

We're gonna have the average, which is sixty-nine point seven two three, equals the mass of the first one, sixty-eight whatever, times its percentage.

So X here is gonna be the percentage of the sixty-nine, and we're gonna add it to the mass of the second one, that seventy point nine number, times the abundance of the other one, which we'll call Y.

So you can see right now we have two unknowns, X and Y, and those are the two percentages, uh, of the gallium-61 and gallium-71, and those are tough to solve.

However, the two abundances together have to equal a hundred percent, or if you're talking about them in, not-- in decimal version, one, which is a hundred percent in decimal, one equals X plus Y.

So what you can do then is have one of them, we'll say Y, equals one minus X.

If you subtract X from both sides on that last one, you get Y equals one minus X, and you're good to go.

So what we're gonna do in a little bit is we're gonna substitute this part right here, the one minus X, we're gonna substitute it up here.

Then we're gonna have one equation with one unknown X, and you can solve for X, and at the very end, go back and go one minus X to solve for Y.

You can run that into the inverse of the CDF.

So on the homework, as we'll see today as well, you just set this thing equal to R and then solve for X in terms of R.

And then that will give you your inverse sampling, your inverse sampler, inverse transform sampler.

And that's just equivalent to taking numbers and running them in the Y-axis.

You solve for the inverse of that.

So you set R equal to the CDF that you have, and then you invert it.

So you solve for X in terms of R.

And hopefully you can do that.