Are you sure you have the right ranges here? In both cases you are selecting a number from the same range.
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.
Last edited by ITman95; 11-22-2013 at 08:56 AM.
Are you sure you have the right ranges here? In both cases you are selecting a number from the same range.
OOPS!! thanks for pointing that out, fixed my original post with the correct ranges.
1) Do you know how to calculate and specify CDF for a continuous uniform random variable?
2) Have you heard about the mixture distribution?
i dont know about mixture distribution BUT how can you apply CDF for this ?
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 ?
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.
How do i do that ?
http://en.wikipedia.org/wiki/Uniform...n_(continuous)
Do you understand why the CDF (listed in the right hand side table) take such form?
yes because when it reaches 1 it becomes constant because it cannot be greater than 1
Got it figured out thanks.
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