The conditional probability distribution of X, given Y = y, is P ( x | y) = P ( X = x,Y = y) P (Y = y) The height of a normal density curve at any point x is given by: f (x) = − ( 1 e2 σ 2π 1 x−µ 2 ) σ • The random variables X and Y are independent if PX,Y (x, y) = pX (x)pY (y) all x, y • Alternatively, X and Y are independent if pX|Y (x | y) = pX (x) and pY |X (y | x) = pY (x), all x,y • Consider two random…
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