Cumulative 0 calculates the density function cumulative 1 calculates the distribution.

So the sum of the two is 9, and I call this the f value.

And so to actually calculate this, what I do is I take the cumulative distribution function of this point and I subtract from that the cumulative distribution function of that point.

Cumulated flag

K 0 calculates the density function K 1 calculates the distribution.

And that's what this is right here.

So if I have... ...if I have the limit of

So what I did is I evaluated the cumulative distribution function at one to be right there.

The high is the average of 103 scientific, peer reviewed studies.

And to factor by grouping we need to look for two numbers whose product is equal to 4 times negative 15.

Do not apply that here.

Burning lots of midnight oil.

little bit, let me get out of pen tool so the cumulative distribution function is right over here then you say true when you make that Excel call.

What happened here?

P prime to be the following

We have just a standard quadratic where the leading coefficient is a 1.

But they're really saying the exact same thing

You can equally define over states in action pairs.

But just for readability I'm going to put it in.

So what the cumulative distribution function is essentially let me call it the cumulative distribution function it's a function of x.

And that's because this value tells the probability that you're less.

a function has been defined called the cumuluative distribution function that is a useful tool for figuring out this area.

The value of the painting was estimated at several million dollars.

So they both calculated 3 raised to the power of their private numbers.

Now, what I want to do is, I want to raise both sides of this equation to 1 over this exponent.

So if a minus s is less than 0, and this is a negative number, e to the a minus s times well t, where t approaches infinity will be 0.

So once again, that number represents the area under the curve here, this area under the curve.

Over time the activity of this genetic regulators seems to decline and cumulative cell damage can occur

And we're going to define a subroutine mean that takes a list and initializes total to 0, runs through all the elements in the list adding up their values, and then returning the total divided by the length.

So what happens as this term, right here, goes to infinity?

So this is a cumulative distribution function for the same... for this

So let's think about that in another way.

So that's our third exponent rule, that when I raise an exponent to a power, and then I raise that whole expression to another power,

Remember, you see a negative exponent, that just means the reciprocal of the positive exponent.

And you'll see why I'm doing that.

And then all of these, even though this may or may not have an exponent in it, it has the same type of symmetries as x raised to an odd power.

You need two numbers to raise a power

It's a digit between 1 and 9, including 1 and 9.

And I substitut it for n.

Wherever we saw an x we put a minus 1.

And the best way to factor this thing, since we don't have a 1 here as the coefficient on the f squared, is to factor it by grouping.

They are actually more likely to have prior history of concussions.

This might be taxing my computer by taking the screen capture with it.

And then lets finish off, well we could keep going on this way

So once again we use this kind of cycling ability of i when it takes its powers to figure out very high exponent of i.