We have had a brief look at the uniform distribution in the past, but we look at it in a bit more detail
now.
So a uniform distribution is a probability distribution in which each number between two specified balance,
a minimum and maximum bound are equally probable.
Just this just means that each number inside that bound is as likely to occur as any other number in
that bound.
So if we have a look on the screen here, we can see that we normally write the notation for a uniform
distribution using a capital you and then these two numbers and B, where A and B are the minimum and
maximum bounds of the number range, put it by this distribution.
So the distribution chain here is the PDF.
It's the probability density function as described by the simple non continuous function here.
So basically between the bounds A and B is a constant likelihood that any number is going to be occur.
And the area under this curve here is, of course, going to be equal to one.
So the gain of the area is just one over B minus A everywhere else it is zero.
Now, looking at this distribution, we can come up with the other statistical properties of the distribution.
Now the main one being the main of the distribution.
So the main of the distribution is simply just going to be the medium that the main value of it.
So just going to be the middle of the distribution halfway between the A and B values.
So this is basically what this equation here is doing is summing up the values working at the midpoint.
Now the variance is worked out in a similar way.
We can use a variance from this equation here and we come up with this equation so we can see the variance
itself is just going to be a function of how far apart the and B parameters are.
And lastly, the cohesion of Skewness in Syria and this can be easily seen from the distribution.
The distribution around the main is symmetrical.
Therefore it's Skewness zero.
So this is the most basic probability distribution, so this is what we normally think about when we
talk about Iran a number.
So when we talk about Iran, a number between one and 10 will usually describe it using a uniform distribution.