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About LinkBacksis the given function dependent or independent:
so far I have:
 = \int^{x}_{0} 3x \ dy \ \ y \leq x \leq 1 )
 = \int^{1}_{y} 3x \ dy \ \ 0 \leq y \leq x )
now for)
now to test independence to I just multiplyand very if it equals the the integrated form of
 )
To test independence, you look to see if f(x, y) = f(x) f(y) ....Originally Posted by lllll
is the given function dependent or independent:
so far I have:
 = \int^{x}_{0} 3x \ dy \ \ y \leq x \leq 1 )
Mr F says: This is not right.
.Then
for
.
now for
Mr F says: This is a worry since it should equal 1 if f(x, y) is a valid pdf! Luckily it does:
. Note: This calculation is NOT relevant for testing independence, but it does confirm that f(x,y) is a valid pdf.
now to test independence to I just multiply
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