1. ## Another Die question

If one was to roll a fair day and if the outcome is 2 then select a number at random in [1,2] and other wise select a number at random in [2,3]. if the number selected is X then find the PDF Fx of X.

im a bit confused on how to answer this, any input would be appreciated.

2. ## Re: Another Die question

Are you sure you have the right ranges here? In both cases you are selecting a number from the same range.

3. ## Re: Another Die question

OOPS!! thanks for pointing that out, fixed my original post with the correct ranges.

4. ## Re: Another Die question

1) Do you know how to calculate and specify CDF for a continuous uniform random variable?

2) Have you heard about the mixture distribution?

5. ## Re: Another Die question

i dont know about mixture distribution BUT how can you apply CDF for this ?

6. ## Re: Another Die question

i just used PDF to get my answer but not sure if it is correct.

PDF of x is Pr(x=k)=1/6 for k=1,2,3,4,5,6

so CDF would be
Pr(x<=1)=1/6
Pr(X ≤ 2) = 2/6

and so on...

is this the correct way to solve this or am i doing something wrong ?

7. ## Re: Another Die question

Now you are calculating the CDF at some points for a discrete uniform distribution.

You need to first know to calculate and specify the CDF at any point for a continuous uniform distribution.

8. ## Re: Another Die question

How do i do that ?

9. ## Re: Another Die question

http://en.wikipedia.org/wiki/Uniform...n_(continuous)

Do you understand why the CDF (listed in the right hand side table) take such form?

10. ## Re: Another Die question

yes because when it reaches 1 it becomes constant because it cannot be greater than 1

11. ## Re: Another Die question

Got it figured out thanks.

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