Question: The joint density function of (X1, X2) is given by: f(x 1 , x 2 ) = 3x 2 , if 0

The joint density function of (X1, X2) is given by:

f(x₁, x₂) = 3x₂, if 021<1 and 0, otherwise.

Find P(Y< .5). Please show all work and all steps towards getting the answer, as well as a two-dimensional diagram of the x₁-x₂ plane of the joint density function to explain how you got the bounds for the integral.

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