NOTES for Thu: 1) Independence--- product rule for expectation, sum rule for variance 2) Indicator Variables--- Binomial Mean & Variance 3) Examples of E[X], E[g(X)]: Geometric Distribution, 2^X [ summation by parts ] GEO: p q^x Note Geo MEAN is q/p = 5 for a fair die, MODE is 0 for any geometric, MEDIAN is \floor(log(2)/log(1/q)) = [[0.6931472 / 0.1823216 = 3.8017840 ]] = 3 Symmetric distributions like Normal usually have Md = Mn = Mo 4) Guessing & Utility: minimize E[ L(X,a) ], L = |X-a| & (X-a)^2 5)