STAT 20 Lecture Notes - Lecture 15: Root Mean Square
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He is still writing it and there will be more updates. We will have 50 minutes to complete the tes. Throughout lecture, underlined numbers refer to sections in notes_roger_purves. Ex: 3 coin tosses, count heads x p(x=x) 0 x (cid:489) + 1 x (cid:490) + 2 x (cid:490) + 3 x (cid:489) Expected value is long run average: two shortcuts, box model, one draw repesents x, then e(x)= average of tickets in box, want e(y) and t is a function of x. For example, y=g(x)=x^2 then e(y)= sum of g(value) times chance from x. Ex) x is a fair die roll: standard error. I f x= one draw from a box model. se(x)= sd of values in box. Box model of 0 and 1: alternative formula for se.