Suppose X and Y are random variables with joint density f(x, y)= c(x2y + y2), − 1 ≤ x ≤ 1, 0 ≤ y ≤ 1 (0else).
a) Find c.
b) Determine whether X and Y are independent.
c) Compute P(3X + 2Y > 1 | −1/2 ≤ X ≤ 1/2).
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