Let X be the time in days between a car accident and reporting a claim to the

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Let X be the time in days between a car accident and reporting a claim to the insurance company. Let Y be the time in days between the report and payment of the claim. Suppose that fX,Y (x, y) = c, 0 ≤ x ≤ 7, 0 ≤ y ≤ 7, and zero otherwise.

(a) Find c.

(b) Find P(0 ≤ X ≤ 2, 0 ≤ Y ≤ 4).

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