Consider the problem from Lecture 5 “Fracking in the Permian Basin.” Denote by X oil production...

Consider the problem from Lecture 5 “Fracking in the Permian Basin.” Denote by X oil production in New Mexico and by Y oil production in Texas. Let the joint distribution of X and Y be given by f(x,y) = 4xy for x,y ∈ [0,1] (a) Show that f(x,y) is a valid joint density function.
(b) Find the marginal density function for X.
(c) Find the conditional density function for X. (d) Find P(X ≤ 1 2|Y ≥ 3 4) (e) Are X and Y dependent or independent?

Expert Solution

orchestra answered 1 year ago

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