EL ENG 126 Study Guide - Midterm Guide: Without Loss Of Generality, Alternative Facts, Bipartite Graph

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Eecs 126 probability and random processes university of california, berkeley: spring 2017. Textbooks, computers, calculators, etc. are prohibited: no form of collaboration between students is allowed. If you are caught cheating, you may fail the course and face disciplinary consequences: you must include explanations to receive credit. Problem part max points problem part max points (a) (b) (c) (d) (e) Cheat sheet: discrete random variables, geometric with parameter p [0, 1] : P (x = n) = (1 p)n 1p, n 1. E[x] = 1/p , var(x) = (1 p)p 2: binomial with parameters n and p : E[x] = n p , var(x) = n p(1 p) n(cid:1)pn(1 p)n n, n = 0, . , n , where (cid:0)n n(cid:1) = n ! (n n)!n: poission with parameter : n! e , n 0. E[x] = , var(x) = : continuous random variables, uniformly distributed in [a, b] , for some a < b : fx(x) = 1.

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