i) Draw a sketch of the area where f(x₁, x₂) is not zero. ii) Find P(X₂ < 1). iii) Find E(X₁X₂).

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b) Suppose that the joint density function of random variables X₁ and X₂ is given by
f(x₁, x₂)=
=
0,
0< x₁ < x₂ <2
otherwise
i) Draw a sketch of the area where f(x₁, x₂) is not zero.
ii) Find P(X₂ < 1).
iii) Find E(X₁X₂).
Transcribed Image Text:b) Suppose that the joint density function of random variables X₁ and X₂ is given by f(x₁, x₂)= = 0, 0< x₁ < x₂ <2 otherwise i) Draw a sketch of the area where f(x₁, x₂) is not zero. ii) Find P(X₂ < 1). iii) Find E(X₁X₂).
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