The random variables X and Y are described by a joint PDF which is constant within the unit quadrilateral with vertices (0,0), (0,1), (1,2), and (1,1). Use the law of total variance to find the variance of X + Y
Added by Tom-S R.
Step 1
Let c be the constant value of the joint PDF. Then, ∫∫(c) dA = 1, where the integral is taken over the unit quadrilateral. The area of the quadrilateral is 1 (it's a square with side length 1), so we have: c * 1 = 1 c = 1 So the joint PDF is f(x, y) = 1 Show more…
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