EL ENG 126 Study Guide - Midterm Guide: Random Variable

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Department of eecs - university of california at berkeley. Eecs 126 - probability and random processes - fall 2008. Complete the sentence: a, b, c are mutually independent if and only if. , 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. Assume that x is equal to 2 with probability 0. 4 and is uniformly distributed in [0, 1] otherwise. Calculate e(x) and var(x). (hint: recall that var(x) = e(x 2) e(x)2. ) Plant 1 produces 1000 parts, 100 of which are defective. Plant 2 produce 2000 parts, 150 of which are defective. A part is selected at random and found to be defective. What is the probability that it came from plant 1: posterior probability (10%) A number is selected at random from 1,2,,100. Given that the number selected is divisible by.