Let λ>0 and let X be a random variable with the probability density function f(x)=xλ+1λ​,/x>1, zero otherwise. Let W=ln(X).
a) Determine the probability distribution of W by finding the c.d.f. of W FW​(w)=P(W≤w)=P(ln(X)≤w). Hint: Find FX​(x) first.