If anyone has experience working with probability density functions (pdf), please look these sample problems over and if you could, give me a few pointers as how to approach them.

I am currently enrolled in a course called Advanced Probability and Statistics. I keep up with all the reading and pay attention in class but I still don't fully comprehend this particular material. Therefore, any insight would be greatly appreciated. I am hoping to learn from a different perspective. My sample problems are below.

Problem 1: The random variable X has a pdf given by fx(x) = 4x^3 if 0< x <1 and zero otherwise. Find the CDF (cumulative distribution function) and use it to determine the pdf of the following random variable Z = ln(X).

Problem 2: Let X have pdf fx(x) = x^2/24 if -2< x < 4 and zero otherwise. Find the pdf of Y = X^2.

Again, thank you for your time and interest.

Kookie