Thread: Graphing the probability distribution function.

Hi,

A quick question, if I have a uniform random variable X with a range (1,2,3,...,n) and mass function given by



For

What does the graph of the probability distribution function Fx actually look like?

Hopefully it's easy to describe...

Edit:

I know it's piecewise constant. It takes the value of 0 for x<1.
and then jumps to a value of 1 at x=1. Does it then jump by 1/2 at x=2 and jump by 1/3 at x=3 so on?

Originally Posted by waynex

Hi,

A quick question, if I have a uniform random variable X with a range (1,2,3,...,n) and mass function given by



For

What does the graph of the probability distribution function Fx actually look like?

Hopefully it's easy to describe...

Edit:

I know it's piecewise constant. It takes the value of 0 for x<1.
and then jumps to a value of 1 at x=1. Does it then jump by 1/2 at x=2 and jump by 1/3 at x=3 so on?

Dear waynex,

Since this is a probability distribution function it is not continuous. Please refer to the attachment. Of course the points goes on until i=n.

Hope this will help you.

Thanks a million for your reply. Quite literally all we have in the notes regarding the graphing of the pdf is:

Fx can be described in words as follows: it is a right-continuous step
function which increases by jumps of size located at , j = 1, 2, . . .

So I guess you can see where I came up with my answer in the edit above, so I would have thought that it would increase.

So the value at in the problem above would be 1/2 and not 1+1/2 is that correct?

Thanks again.

Originally Posted by waynex

Thanks a million for your reply. Quite literally all we have in the notes regarding the graphing of the pdf is:



So I guess you can see where I came up with my answer in the edit above, so I would have thought that it would increase.

So the value at in the problem above would be 1/2 and not 1+1/2 is that correct?

Thanks again.

Dear waynex,

Yes it is correct. Hope you have understood the ideas clearly.