The joint probability density function of two random variables X and Y is given by
f(x, y) = {
3
16 (4 − 2x − y), x > 0, y > 0, 2x + y < 4
0, elsewhere
Determine (i)the conditional distribution of Y given X (ii) Pr(Y ≥ 2|X = 0.5)
0
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