Please solve it on page and shows all steps in detail .Thank You

4. Let 1? denote the {random} time between a car accident and reporting a claim to the insurance company. Let i" be the {random} time between the report of the claim and payment of the claim. The joint probability density function of]: and Y. is given by cc'l'l il'a: :- {l and 3:- {I Limiter] : { I] otherwise 9 ' {A} and the \"out of c. {E} Find the probability that the time between a car accident and reporting a claim to the insurance company is larger than the time between the report of the claim and the payment of the claim; that is, use the joint density to nd HI } Y}. {'3} Find the marginal density function of X. {D} Are X and 1' independent? Ya or no ananers without a proof 1will receive zero credit