Question: can you please help me with this question 4. Let X denote the (random) time between a car accident and reporting a claim to the

can you please help me with this question

can you please help me with this question 4. Let X denotethe (random) time between a car accident and reporting a claim to

4. Let X denote the (random) time between a car accident and reporting a claim to the insurance company. Let Y be the (random) time between the report of the claim and payment of the claim. The joint probability density function of X and Y, is given by fx,y (x, y) = 0 [ ke (7x+y) if x > 0 and y > 0 otherwise (A) Find the value of k. (B) 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 find P(X > Y).(C) Find the marginal density function of X. (D) Are X and Y independent? Yes or no answers without a proof will receive zero credit

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