joint pdf of the random variables X₁ and X2, show that X₁ and X₂ are independent and that M(t1, t₂) = (1-t₁)-¹(1-t₂)-¹, t₂ <1, t₁ < 1. Also show that E(et(x₁+x₂)) = (1-1)-², t<1. Accordingly, find the mean and the variance of Y = X₁ + X₂.

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