EL ENG 126 Midterm: ee126-fa2015-mt1-Ramchandran-exam

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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 p2: 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. E[x] = a+b b a1{a x b}