Question
a) Let X,Y be independent r.v. with the same distribution of variance 1. Set A=(X+Y)/2. Compute E((X-A)^2+(Y-A)^2). (x^2 denotes x squared ) b) Let X,Y,
a) Let X,Y be independent r.v. with the same distribution of variance 1. Set A=(X+Y)/2. Compute E((X-A)^2+(Y-A)^2). (x^2 denotes x squared ) b) Let X,Y, Z , be independent r.v. with the same distribution of variance 1. Set A=(X+Y+Z)/3. Compute E((X-A)^2+(Y-A)^2+(Z-A)^2). c) Generalize the result to the case of n independent identically distributed r.v.
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Calculus Early Transcendentals
Authors: Jon Rogawski, Colin Adams
3rd Edition
1319116450, 9781319116453
