So that's my probability distribution function.

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

But that's my discreet probability distribution function.

Because remember it's a continuous distribution function.

The normal distribution function is a continuous probability distribution so it's a continuous curve.

When you actually use the Excel normal distribution function,

So let's say I have a discreet probability distribution function.

This tells you the height of the normal distribution function.

Five samples from this probability distribution function, plotted it right there.

So that's what the normal distribution, I guess the probability density function for the normal distribution looks like.

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

And the way you get it is with the cumulative distribution function.

By Pair

Pair up.

Two pair.

But it's a probability density function just like we studies the Poisson distribution.

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

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.

One pair sunglasses.

Sorry. Last pair.

It's actually going to generate the random numbers according to this probability distribution function.

And I evaluate the cumulative distribution function at minus 1, which is right there.

So when you go to the cumulative distribution function you get that right there.

Distribution

Distribution

Distribution.

One pair, two pairs!

Give me a pair

In fact, our standard deviation became smaller than our original population distribution or original probability density function.

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

One pair black suit pants.

A pair of lonely ones

1 00 pair of shoes.

Two pair. Aces and sevens.

Detention, the pair of you.