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May 25th, 2008, 03:49 PM   #1
hak
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uniform distribution, raised to power

I have an uniform distribution with parameters a and b,
such that 0=< a,b =<1 and support for a =< x =< b.
Obviously the mean is (a+b)/2.

Now I raise each x to power n (which is the natural number, n >1). What will be the formula for the mean of such a distribution?

I would appreciate your help.
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