EL ENG 126 Midterm: ee126-fa2014-mt1-Ramchandran-exam
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Rules: do not open the exam until instructed to do so, note that the test has 105 points. 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.