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We have had a brief look at the uniform distribution in the past, but we look at it in a bit more detail

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now.

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So a uniform distribution is a probability distribution in which each number between two specified balance,

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a minimum and maximum bound are equally probable.

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Just this just means that each number inside that bound is as likely to occur as any other number in

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that bound.

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So if we have a look on the screen here, we can see that we normally write the notation for a uniform

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distribution using a capital you and then these two numbers and B, where A and B are the minimum and

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maximum bounds of the number range, put it by this distribution.

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So the distribution chain here is the PDF.

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It's the probability density function as described by the simple non continuous function here.

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So basically between the bounds A and B is a constant likelihood that any number is going to be occur.

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And the area under this curve here is, of course, going to be equal to one.

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So the gain of the area is just one over B minus A everywhere else it is zero.

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Now, looking at this distribution, we can come up with the other statistical properties of the distribution.

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Now the main one being the main of the distribution.

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So the main of the distribution is simply just going to be the medium that the main value of it.

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So just going to be the middle of the distribution halfway between the A and B values.

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So this is basically what this equation here is doing is summing up the values working at the midpoint.

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Now the variance is worked out in a similar way.

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We can use a variance from this equation here and we come up with this equation so we can see the variance

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itself is just going to be a function of how far apart the and B parameters are.

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And lastly, the cohesion of Skewness in Syria and this can be easily seen from the distribution.

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The distribution around the main is symmetrical.

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Therefore it's Skewness zero.

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So this is the most basic probability distribution, so this is what we normally think about when we

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talk about Iran a number.

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So when we talk about Iran, a number between one and 10 will usually describe it using a uniform distribution.