I'm struggling with the following question. It's from Fundamentals of Probability by Saeed Ghahramani, 3rd 3eition, unit 9.1, question 7.

Let the joint probability distribution function of X, Y, and Z be given by F(x, y, z) = (1 -e-Aux)(1 -e-*2y) (1 -e-43z), x, y, z > 0, where 21, 12, 23 > 0. (a) Are X, Y, and Z independent? (b) Find the joint probability density function of X, Y, and Z. (c) Find P(X