3. (i) Find the probability P(0<X1<1/3 , 0<X2<1/3) where X1, X2 have the joint pdf...

3. (i) Find the probability P(0<X₁<1/3 , 0<X₂<1/3) where X₁, X₂ have the joint pdf

f(x₁, x₂) = 4x₁(1-x₂) , 0<x₁<1 0<x₂<1

0, otherwise

(ii) For the same joint pdf, calculate E(X₁X₂) and E(X₁ + X₂)

(iii) Calculate Var(X₁X₂)

Expert Solution

orchestra answered 2 years ago

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