(x(i) in the beginning, if you cant read it)
How would I start on this, i'm not too sure.

2. Fx(n)(x) = Px(n)(X(n)<=x)
Fx(n)(x) = Px1...xn(max{x1,...xn}<=x)
Fx(n)(x) = Px1...xn(x1<=x,...,xn<=x)
Fx(n)(x) = Px1(x1<=x)*...*Pxn(xn<=x)
Fx(n)(x) = Fx1(x)*...*Fxn(x)
Fx(n)(x) = Fx1(x)*...*Fxi(x)*...*Fxn(x)
Fx(n)(x) = Fx1(x)*...*Fx(n-1)(x)*Fxi(x)
Fxi(x) = Fx(n)(x) / Fx1(x)*...*Fx(n-1)(x)

not sure where to go from here...

3. Originally Posted by Sneaky

(x(i) in the beginning, if you cant read it)
How would I start on this, i'm not too sure.
example of what X(n) means

X1=0.5 X(1) = 0.1 (so it is increasing...)
X2=0.7 X(2) = 0.2
x3=0.96 X(3) = 0.45
x4=0.45 X(4) = 0.5
x5=0.2 X(5) = 0.7
x6=0.1 X(6) = 0.96

Fx(n)(X) = Px(n)(Xn<=X)

so a cumulative distribution function

4. Originally Posted by Sneaky

(x(i) in the beginning, if you cant read it)
How would I start on this, i'm not too sure.
It looks like you want the cdf of the ith order statistic for a discrete random variable. I suggest you do some research in that direction.