1. Let the joint p.d.f. of X and Y is defined by ƒ(x,y)=x+³, x=1,2, y=1,2,3,4. 32 (a) Find f(x), marginal p.d.f of X, ₂ (y), marginal p.d.f of Y, (i) (ii) (iii) P(X>Y),

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A: Letandfind the derivative

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A: It is given that, x be the amount of claim with pdf fx = Kx2 2-x,0&lt;x&lt;30,elsewhere

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A: here we use the integration by parts see below the answer and calculation

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A: I have appended the concept used in the solution part

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Q: 3. Let there be some a, b R such that f(a)ƒ'(a) = f(b)ƒ'(b) + 1. Show that f f(x) f"(x)dx ≤ 1.

A: This is a problem related to integration. Based on the general formula and concept we will prove the…

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A: Step 1:Step 2: Step 3: Step 4: