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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

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

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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

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