Discrete Distributions (Alatissa expert in probability theory)

From the mat of humor:
If you pronounce a number loudly... its value will increase)
5=5
5!= 120
...
5! = 1*2*3*4*5

Alatissa wrote:
5! = 1*2*3*4*5

for those who didn't get in

n! = pronounced en factorial.
Factorial of a number n = product of all natural numbers from 1 to n inclusive

I think many people have noticed the type of function:
integral or weight.





i.e. when you choose "false" - these will be the values of the probability density,
when you select "true" - the values of the integral distribution function.

For some reason, no one asks what these meanings are.
Even Shpilevoy became quiet.
Although he was perplexed when I showed the distribution function in the topic
"Calculate three numbers in series of thirty spins"

Shpilevoy writes:


"Ten times 1, what does that mean?" he asked.
....
Since I have already taken a segment of 10 spins, I will continue according to this example,
and 30 spins will be similar.

I hope he paid attention to the Y axis.
In the density plot of the distribution p(r)
in the graph of the distribution function f(r)

I will now show the table in full, as it turned out in Excel calculations



Here we paid attention to the exponential notations and the fact that the calculations are up to nine decimal places.
That is, rounding occurs, and small errors result.
It's actually a bit early to get a value of one at step seven.

If anyone is interested, I will show you a table where I have already converted exponential notations to decimal notations.
It will look like this

Next, I will do the calculations when the values of the distribution function are 14 decimal places
and it will be more clear what these meanings are
i.e. Excel's automatic calculations somehow didn't really suit me)



Next, for what purposes is the fr calculated?
What questions can be answered when there are calculations of the distribution function and probability density