STAT 1000Q Lecture Notes - Lecture 10: Random Variable, Fair Coin, Standard Deviation
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Stat 1000q lecture 10 -discrete random variables. Toss a coin 3 times: s = {hhh, hht, hth, For each x, 0 p(x) 1 n where x1, x2, xn are all the possible values of x. p(xi) = 1 i=1: example: It follows that: p(0) = (only ttt, three tails/no heads) p(1) = (only htt, tht, and tth) p(2) = (only hht, hth, and thh) p(3) = (only hhh, three heads) Mean, variance, standard deviation of a discrete random variable. The mean of x is the weighted sum of all possible values of x. The average of x1, x2, xn p(x) are the weights in the formula. n. = a. k. a. e(x) p(xi) = 1 i=1. The law of large numbers states that repeating the experiment many times and averaging all values of x should arrive at a number close to e(x). The variance of x is the weighted sum of the square of the.
