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Exive, because if n 2Z, then nn = n2 0, so nRn (b) Relation R is symmetric, because if m;n 2Z such that mRn, then n m = mn 0, and so nRm (c) Relation R is not transitive, because 1R0 and 0R1, but 1 6R 1 2 Let A = f1;2;3;4g Give an example of a relation on. To each time n, we associate a nonnegative random variable Z n (eg, income on day n) Let X n = P n Z k be the income on the first n days Let X = P 1 k=1 k=1 Z k be the lifetime income Note that X is well defined (as an extended real number) for every ω ∈ , because of our assumption that Z as k ≥ 0, and X n → X 1. M e n u I t e m s d o n o t c o n t a i n p o r k o r n u t s u n l e s s o t h e r w i s e s p e c i f i e d M e als are fre e a nd provid ed to a l l in pe rso n st ude nt s e ac h Frid ay MENU IS SUBJECT TO CHANGE ÏA,47,70ª0,3ª =4/,Dª,1?0=ª>37 ª ª.

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