Question: 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

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

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

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

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