EL ENG 126 Study Guide - Midterm Guide: Random Variable, Bayes Estimator

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Department of eecs - university of california at berkeley. Eecs 126 - probability and random processes - fall 2008. A random variable is a real-valued function of the outcome or a random experiment (80%). Details: to specify the random experiment, one de nes a probability space (set of outcomes and probability p (a) of sets a of outcomes). The random variable is then a function x : (20%). Complete the sentence: a, b, c are mutually independent if and only if. P (a b) = p (a)p (b), p (b c) = p (b)p (c), p (a c) = p (a)p (c), P (a b c) = p (a)p (b)p (c). , an} form a partition of and that pm = p (am) and qm = p [b|am] for m = 1, . , n. derive p [am|b] in terms of p"s and q"s.